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Finding the Third Proportional to 762,986 and 1,179,550

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Solution

The third proportional to 762,986 and 1,179,550 is: 1,823,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,986 : 1,179,550 = 1,179,550 : x
  2. Step 2: Convert to fraction form
    762,986/1,179,550 = 1,179,550/x
  3. Step 3: Cross multiply
    762,986x = 1,179,550 × 1,179,550
  4. Step 4: Simplify right side
    762,986x = 1,391,338,202,500
  5. Step 5: Solve for x
    x = 1,391,338,202,500/762,986
  6. Step 6: Final answer
    x = 1,823,543.55

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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.