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Finding the Third Proportional to 952,438.50 and 1,438,499.25

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Solution

The third proportional to 952,438.50 and 1,438,499.25 is: 2,172,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,438.50 : 1,438,499.25 = 1,438,499.25 : x
  2. Step 2: Convert to fraction form
    952,438.50/1,438,499.25 = 1,438,499.25/x
  3. Step 3: Cross multiply
    952,438.50x = 1,438,499.25 × 1,438,499.25
  4. Step 4: Simplify right side
    952,438.50x = 2,069,280,092,250.56
  5. Step 5: Solve for x
    x = 2,069,280,092,250.56/952,438.50
  6. Step 6: Final answer
    x = 2,172,612.82

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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.