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Finding the Third Proportional to 750,629 and 1,161,847

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Solution

The third proportional to 750,629 and 1,161,847 is: 1,798,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,629 : 1,161,847 = 1,161,847 : x
  2. Step 2: Convert to fraction form
    750,629/1,161,847 = 1,161,847/x
  3. Step 3: Cross multiply
    750,629x = 1,161,847 × 1,161,847
  4. Step 4: Simplify right side
    750,629x = 1,349,888,451,409
  5. Step 5: Solve for x
    x = 1,349,888,451,409/750,629
  6. Step 6: Final answer
    x = 1,798,343.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.