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Finding the Third Proportional to 986,976 and 1,487,761.50

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Solution

The third proportional to 986,976 and 1,487,761.50 is: 2,242,642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,976 : 1,487,761.50 = 1,487,761.50 : x
  2. Step 2: Convert to fraction form
    986,976/1,487,761.50 = 1,487,761.50/x
  3. Step 3: Cross multiply
    986,976x = 1,487,761.50 × 1,487,761.50
  4. Step 4: Simplify right side
    986,976x = 2,213,434,280,882.25
  5. Step 5: Solve for x
    x = 2,213,434,280,882.25/986,976
  6. Step 6: Final answer
    x = 2,242,642.46

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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.