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Finding the Third Proportional to 592,586 and 903,459

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Solution

The third proportional to 592,586 and 903,459 is: 1,377,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,586 : 903,459 = 903,459 : x
  2. Step 2: Convert to fraction form
    592,586/903,459 = 903,459/x
  3. Step 3: Cross multiply
    592,586x = 903,459 × 903,459
  4. Step 4: Simplify right side
    592,586x = 816,238,164,681
  5. Step 5: Solve for x
    x = 816,238,164,681/592,586
  6. Step 6: Final answer
    x = 1,377,417.23

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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.