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Finding the Third Proportional to 592,640 and 941,451

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Solution

The third proportional to 592,640 and 941,451 is: 1,495,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,640 : 941,451 = 941,451 : x
  2. Step 2: Convert to fraction form
    592,640/941,451 = 941,451/x
  3. Step 3: Cross multiply
    592,640x = 941,451 × 941,451
  4. Step 4: Simplify right side
    592,640x = 886,329,985,401
  5. Step 5: Solve for x
    x = 886,329,985,401/592,640
  6. Step 6: Final answer
    x = 1,495,562.21

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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.