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Finding the Third Proportional to 750,961.13 and 1,098,147.38

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Solution

The third proportional to 750,961.13 and 1,098,147.38 is: 1,605,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,961.13 : 1,098,147.38 = 1,098,147.38 : x
  2. Step 2: Convert to fraction form
    750,961.13/1,098,147.38 = 1,098,147.38/x
  3. Step 3: Cross multiply
    750,961.13x = 1,098,147.38 × 1,098,147.38
  4. Step 4: Simplify right side
    750,961.13x = 1,205,927,657,219.39
  5. Step 5: Solve for x
    x = 1,205,927,657,219.39/750,961.13
  6. Step 6: Final answer
    x = 1,605,845.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.