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Finding the Third Proportional to 655,542 and 1,426,446

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Solution

The third proportional to 655,542 and 1,426,446 is: 3,103,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,542 : 1,426,446 = 1,426,446 : x
  2. Step 2: Convert to fraction form
    655,542/1,426,446 = 1,426,446/x
  3. Step 3: Cross multiply
    655,542x = 1,426,446 × 1,426,446
  4. Step 4: Simplify right side
    655,542x = 2,034,748,190,916
  5. Step 5: Solve for x
    x = 2,034,748,190,916/655,542
  6. Step 6: Final answer
    x = 3,103,917.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.