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Finding the Third Proportional to 588,973 and 934,122

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Solution

The third proportional to 588,973 and 934,122 is: 1,481,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,973 : 934,122 = 934,122 : x
  2. Step 2: Convert to fraction form
    588,973/934,122 = 934,122/x
  3. Step 3: Cross multiply
    588,973x = 934,122 × 934,122
  4. Step 4: Simplify right side
    588,973x = 872,583,910,884
  5. Step 5: Solve for x
    x = 872,583,910,884/588,973
  6. Step 6: Final answer
    x = 1,481,534.66

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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.