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Finding the Third Proportional to 634,648.50 and 1,321,788

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Solution

The third proportional to 634,648.50 and 1,321,788 is: 2,752,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,648.50 : 1,321,788 = 1,321,788 : x
  2. Step 2: Convert to fraction form
    634,648.50/1,321,788 = 1,321,788/x
  3. Step 3: Cross multiply
    634,648.50x = 1,321,788 × 1,321,788
  4. Step 4: Simplify right side
    634,648.50x = 1,747,123,516,944
  5. Step 5: Solve for x
    x = 1,747,123,516,944/634,648.50
  6. Step 6: Final answer
    x = 2,752,899.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.