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Finding the Third Proportional to 730,680 and 1,146,516

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Solution

The third proportional to 730,680 and 1,146,516 is: 1,799,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,680 : 1,146,516 = 1,146,516 : x
  2. Step 2: Convert to fraction form
    730,680/1,146,516 = 1,146,516/x
  3. Step 3: Cross multiply
    730,680x = 1,146,516 × 1,146,516
  4. Step 4: Simplify right side
    730,680x = 1,314,498,938,256
  5. Step 5: Solve for x
    x = 1,314,498,938,256/730,680
  6. Step 6: Final answer
    x = 1,799,007.69

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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.