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Finding the Third Proportional to 615,537 and 945,539

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Solution

The third proportional to 615,537 and 945,539 is: 1,452,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,537 : 945,539 = 945,539 : x
  2. Step 2: Convert to fraction form
    615,537/945,539 = 945,539/x
  3. Step 3: Cross multiply
    615,537x = 945,539 × 945,539
  4. Step 4: Simplify right side
    615,537x = 894,044,000,521
  5. Step 5: Solve for x
    x = 894,044,000,521/615,537
  6. Step 6: Final answer
    x = 1,452,461.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.