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Finding the Third Proportional to 700,910 and 1,098,084

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Solution

The third proportional to 700,910 and 1,098,084 is: 1,720,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,910 : 1,098,084 = 1,098,084 : x
  2. Step 2: Convert to fraction form
    700,910/1,098,084 = 1,098,084/x
  3. Step 3: Cross multiply
    700,910x = 1,098,084 × 1,098,084
  4. Step 4: Simplify right side
    700,910x = 1,205,788,471,056
  5. Step 5: Solve for x
    x = 1,205,788,471,056/700,910
  6. Step 6: Final answer
    x = 1,720,318.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.