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Finding the Third Proportional to 649,539 and 954,625.50

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Solution

The third proportional to 649,539 and 954,625.50 is: 1,403,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,539 : 954,625.50 = 954,625.50 : x
  2. Step 2: Convert to fraction form
    649,539/954,625.50 = 954,625.50/x
  3. Step 3: Cross multiply
    649,539x = 954,625.50 × 954,625.50
  4. Step 4: Simplify right side
    649,539x = 911,309,845,250.25
  5. Step 5: Solve for x
    x = 911,309,845,250.25/649,539
  6. Step 6: Final answer
    x = 1,403,010.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.