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Finding the Third Proportional to 730,948 and 1,096,422

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Solution

The third proportional to 730,948 and 1,096,422 is: 1,644,633

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,948 : 1,096,422 = 1,096,422 : x
  2. Step 2: Convert to fraction form
    730,948/1,096,422 = 1,096,422/x
  3. Step 3: Cross multiply
    730,948x = 1,096,422 × 1,096,422
  4. Step 4: Simplify right side
    730,948x = 1,202,141,202,084
  5. Step 5: Solve for x
    x = 1,202,141,202,084/730,948
  6. Step 6: Final answer
    x = 1,644,633

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.