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Finding the Third Proportional to 665,062.50 and 1,377,420

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Solution

The third proportional to 665,062.50 and 1,377,420 is: 2,852,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,062.50 : 1,377,420 = 1,377,420 : x
  2. Step 2: Convert to fraction form
    665,062.50/1,377,420 = 1,377,420/x
  3. Step 3: Cross multiply
    665,062.50x = 1,377,420 × 1,377,420
  4. Step 4: Simplify right side
    665,062.50x = 1,897,285,856,400
  5. Step 5: Solve for x
    x = 1,897,285,856,400/665,062.50
  6. Step 6: Final answer
    x = 2,852,793.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.