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Finding the Third Proportional to 610,586 and 934,059

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Solution

The third proportional to 610,586 and 934,059 is: 1,428,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,586 : 934,059 = 934,059 : x
  2. Step 2: Convert to fraction form
    610,586/934,059 = 934,059/x
  3. Step 3: Cross multiply
    610,586x = 934,059 × 934,059
  4. Step 4: Simplify right side
    610,586x = 872,466,215,481
  5. Step 5: Solve for x
    x = 872,466,215,481/610,586
  6. Step 6: Final answer
    x = 1,428,899.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.