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Finding the Third Proportional to 648,792 and 1,033,140

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Solution

The third proportional to 648,792 and 1,033,140 is: 1,645,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,792 : 1,033,140 = 1,033,140 : x
  2. Step 2: Convert to fraction form
    648,792/1,033,140 = 1,033,140/x
  3. Step 3: Cross multiply
    648,792x = 1,033,140 × 1,033,140
  4. Step 4: Simplify right side
    648,792x = 1,067,378,259,600
  5. Step 5: Solve for x
    x = 1,067,378,259,600/648,792
  6. Step 6: Final answer
    x = 1,645,177.90

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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.