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Finding the Third Proportional to 655,537 and 1,426,438

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Solution

The third proportional to 655,537 and 1,426,438 is: 3,103,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,537 : 1,426,438 = 1,426,438 : x
  2. Step 2: Convert to fraction form
    655,537/1,426,438 = 1,426,438/x
  3. Step 3: Cross multiply
    655,537x = 1,426,438 × 1,426,438
  4. Step 4: Simplify right side
    655,537x = 2,034,725,367,844
  5. Step 5: Solve for x
    x = 2,034,725,367,844/655,537
  6. Step 6: Final answer
    x = 3,103,906.21

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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.