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Finding the Third Proportional to 787,541 and 1,190,708

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Solution

The third proportional to 787,541 and 1,190,708 is: 1,800,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,541 : 1,190,708 = 1,190,708 : x
  2. Step 2: Convert to fraction form
    787,541/1,190,708 = 1,190,708/x
  3. Step 3: Cross multiply
    787,541x = 1,190,708 × 1,190,708
  4. Step 4: Simplify right side
    787,541x = 1,417,785,541,264
  5. Step 5: Solve for x
    x = 1,417,785,541,264/787,541
  6. Step 6: Final answer
    x = 1,800,268.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.