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Finding the Third Proportional to 2,780,416 and 6,092,272

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Solution

The third proportional to 2,780,416 and 6,092,272 is: 13,349,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780,416 : 6,092,272 = 6,092,272 : x
  2. Step 2: Convert to fraction form
    2,780,416/6,092,272 = 6,092,272/x
  3. Step 3: Cross multiply
    2,780,416x = 6,092,272 × 6,092,272
  4. Step 4: Simplify right side
    2,780,416x = 37,115,778,121,984
  5. Step 5: Solve for x
    x = 37,115,778,121,984/2,780,416
  6. Step 6: Final answer
    x = 13,349,001.78

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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.