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Finding the Third Proportional to 687,502,783.69 and 1,090,422,093.66

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Solution

The third proportional to 687,502,783.69 and 1,090,422,093.66 is: 1,729,477,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,502,783.69 : 1,090,422,093.66 = 1,090,422,093.66 : x
  2. Step 2: Convert to fraction form
    687,502,783.69/1,090,422,093.66 = 1,090,422,093.66/x
  3. Step 3: Cross multiply
    687,502,783.69x = 1,090,422,093.66 × 1,090,422,093.66
  4. Step 4: Simplify right side
    687,502,783.69x = 1,189,020,342,333,788,928
  5. Step 5: Solve for x
    x = 1,189,020,342,333,788,928/687,502,783.69
  6. Step 6: Final answer
    x = 1,729,477,131.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.