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Finding the Third Proportional to 698,552 and 1,527,874

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Solution

The third proportional to 698,552 and 1,527,874 is: 3,341,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,552 : 1,527,874 = 1,527,874 : x
  2. Step 2: Convert to fraction form
    698,552/1,527,874 = 1,527,874/x
  3. Step 3: Cross multiply
    698,552x = 1,527,874 × 1,527,874
  4. Step 4: Simplify right side
    698,552x = 2,334,398,959,876
  5. Step 5: Solve for x
    x = 2,334,398,959,876/698,552
  6. Step 6: Final answer
    x = 3,341,768.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.