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Finding the Third Proportional to 645,098 and 1,024,670

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Solution

The third proportional to 645,098 and 1,024,670 is: 1,627,580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,098 : 1,024,670 = 1,024,670 : x
  2. Step 2: Convert to fraction form
    645,098/1,024,670 = 1,024,670/x
  3. Step 3: Cross multiply
    645,098x = 1,024,670 × 1,024,670
  4. Step 4: Simplify right side
    645,098x = 1,049,948,608,900
  5. Step 5: Solve for x
    x = 1,049,948,608,900/645,098
  6. Step 6: Final answer
    x = 1,627,580.01

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