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Finding the Third Proportional to 588,897 and 934,011

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Solution

The third proportional to 588,897 and 934,011 is: 1,481,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,897 : 934,011 = 934,011 : x
  2. Step 2: Convert to fraction form
    588,897/934,011 = 934,011/x
  3. Step 3: Cross multiply
    588,897x = 934,011 × 934,011
  4. Step 4: Simplify right side
    588,897x = 872,376,548,121
  5. Step 5: Solve for x
    x = 872,376,548,121/588,897
  6. Step 6: Final answer
    x = 1,481,373.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.