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Finding the Third Proportional to 592,554 and 903,414

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Solution

The third proportional to 592,554 and 903,414 is: 1,377,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,554 : 903,414 = 903,414 : x
  2. Step 2: Convert to fraction form
    592,554/903,414 = 903,414/x
  3. Step 3: Cross multiply
    592,554x = 903,414 × 903,414
  4. Step 4: Simplify right side
    592,554x = 816,156,855,396
  5. Step 5: Solve for x
    x = 816,156,855,396/592,554
  6. Step 6: Final answer
    x = 1,377,354.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.