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Finding the Third Proportional to 781,146 and 1,180,098

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Solution

The third proportional to 781,146 and 1,180,098 is: 1,782,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,146 : 1,180,098 = 1,180,098 : x
  2. Step 2: Convert to fraction form
    781,146/1,180,098 = 1,180,098/x
  3. Step 3: Cross multiply
    781,146x = 1,180,098 × 1,180,098
  4. Step 4: Simplify right side
    781,146x = 1,392,631,289,604
  5. Step 5: Solve for x
    x = 1,392,631,289,604/781,146
  6. Step 6: Final answer
    x = 1,782,805.38

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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.