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Finding the Third Proportional to 929,649.38 and 1,436,517

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Solution

The third proportional to 929,649.38 and 1,436,517 is: 2,219,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,649.38 : 1,436,517 = 1,436,517 : x
  2. Step 2: Convert to fraction form
    929,649.38/1,436,517 = 1,436,517/x
  3. Step 3: Cross multiply
    929,649.38x = 1,436,517 × 1,436,517
  4. Step 4: Simplify right side
    929,649.38x = 2,063,581,091,289
  5. Step 5: Solve for x
    x = 2,063,581,091,289/929,649.38
  6. Step 6: Final answer
    x = 2,219,741.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.