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Finding the Third Proportional to 930,649.50 and 1,359,028.13

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Solution

The third proportional to 930,649.50 and 1,359,028.13 is: 1,984,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,649.50 : 1,359,028.13 = 1,359,028.13 : x
  2. Step 2: Convert to fraction form
    930,649.50/1,359,028.13 = 1,359,028.13/x
  3. Step 3: Cross multiply
    930,649.50x = 1,359,028.13 × 1,359,028.13
  4. Step 4: Simplify right side
    930,649.50x = 1,846,957,444,541.02
  5. Step 5: Solve for x
    x = 1,846,957,444,541.02/930,649.50
  6. Step 6: Final answer
    x = 1,984,589.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.