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Finding the Third Proportional to 1,755,918 and 2,566,809

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Solution

The third proportional to 1,755,918 and 2,566,809 is: 3,752,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755,918 : 2,566,809 = 2,566,809 : x
  2. Step 2: Convert to fraction form
    1,755,918/2,566,809 = 2,566,809/x
  3. Step 3: Cross multiply
    1,755,918x = 2,566,809 × 2,566,809
  4. Step 4: Simplify right side
    1,755,918x = 6,588,508,442,481
  5. Step 5: Solve for x
    x = 6,588,508,442,481/1,755,918
  6. Step 6: Final answer
    x = 3,752,173.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.