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Finding the Third Proportional to 747,688 and 1,640,120

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Solution

The third proportional to 747,688 and 1,640,120 is: 3,597,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,688 : 1,640,120 = 1,640,120 : x
  2. Step 2: Convert to fraction form
    747,688/1,640,120 = 1,640,120/x
  3. Step 3: Cross multiply
    747,688x = 1,640,120 × 1,640,120
  4. Step 4: Simplify right side
    747,688x = 2,689,993,614,400
  5. Step 5: Solve for x
    x = 2,689,993,614,400/747,688
  6. Step 6: Final answer
    x = 3,597,748.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.