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Finding the Third Proportional to 936,014 and 2,021,464

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Solution

The third proportional to 936,014 and 2,021,464 is: 4,365,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,014 : 2,021,464 = 2,021,464 : x
  2. Step 2: Convert to fraction form
    936,014/2,021,464 = 2,021,464/x
  3. Step 3: Cross multiply
    936,014x = 2,021,464 × 2,021,464
  4. Step 4: Simplify right side
    936,014x = 4,086,316,703,296
  5. Step 5: Solve for x
    x = 4,086,316,703,296/936,014
  6. Step 6: Final answer
    x = 4,365,657.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.