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Finding the Third Proportional to 646,782.50 and 1,360,591

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Solution

The third proportional to 646,782.50 and 1,360,591 is: 2,862,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,782.50 : 1,360,591 = 1,360,591 : x
  2. Step 2: Convert to fraction form
    646,782.50/1,360,591 = 1,360,591/x
  3. Step 3: Cross multiply
    646,782.50x = 1,360,591 × 1,360,591
  4. Step 4: Simplify right side
    646,782.50x = 1,851,207,869,281
  5. Step 5: Solve for x
    x = 1,851,207,869,281/646,782.50
  6. Step 6: Final answer
    x = 2,862,179.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.