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Finding the Third Proportional to 720,970 and 1,086,976

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Solution

The third proportional to 720,970 and 1,086,976 is: 1,638,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,970 : 1,086,976 = 1,086,976 : x
  2. Step 2: Convert to fraction form
    720,970/1,086,976 = 1,086,976/x
  3. Step 3: Cross multiply
    720,970x = 1,086,976 × 1,086,976
  4. Step 4: Simplify right side
    720,970x = 1,181,516,824,576
  5. Step 5: Solve for x
    x = 1,181,516,824,576/720,970
  6. Step 6: Final answer
    x = 1,638,787.78

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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.