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Finding the Third Proportional to 701,212 and 1,535,902

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Solution

The third proportional to 701,212 and 1,535,902 is: 3,364,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,212 : 1,535,902 = 1,535,902 : x
  2. Step 2: Convert to fraction form
    701,212/1,535,902 = 1,535,902/x
  3. Step 3: Cross multiply
    701,212x = 1,535,902 × 1,535,902
  4. Step 4: Simplify right side
    701,212x = 2,358,994,953,604
  5. Step 5: Solve for x
    x = 2,358,994,953,604/701,212
  6. Step 6: Final answer
    x = 3,364,167.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.