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Finding the Third Proportional to 610,591 and 934,019

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Solution

The third proportional to 610,591 and 934,019 is: 1,428,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,591 : 934,019 = 934,019 : x
  2. Step 2: Convert to fraction form
    610,591/934,019 = 934,019/x
  3. Step 3: Cross multiply
    610,591x = 934,019 × 934,019
  4. Step 4: Simplify right side
    610,591x = 872,391,492,361
  5. Step 5: Solve for x
    x = 872,391,492,361/610,591
  6. Step 6: Final answer
    x = 1,428,765.72

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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.