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Finding the Third Proportional to 677,943 and 929,620.13

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Solution

The third proportional to 677,943 and 929,620.13 is: 1,274,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,943 : 929,620.13 = 929,620.13 : x
  2. Step 2: Convert to fraction form
    677,943/929,620.13 = 929,620.13/x
  3. Step 3: Cross multiply
    677,943x = 929,620.13 × 929,620.13
  4. Step 4: Simplify right side
    677,943x = 864,193,576,805.02
  5. Step 5: Solve for x
    x = 864,193,576,805.02/677,943
  6. Step 6: Final answer
    x = 1,274,728.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.