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Finding the Third Proportional to 765,473.63 and 1,126,065.38

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Solution

The third proportional to 765,473.63 and 1,126,065.38 is: 1,656,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,473.63 : 1,126,065.38 = 1,126,065.38 : x
  2. Step 2: Convert to fraction form
    765,473.63/1,126,065.38 = 1,126,065.38/x
  3. Step 3: Cross multiply
    765,473.63x = 1,126,065.38 × 1,126,065.38
  4. Step 4: Simplify right side
    765,473.63x = 1,268,023,228,773.89
  5. Step 5: Solve for x
    x = 1,268,023,228,773.89/765,473.63
  6. Step 6: Final answer
    x = 1,656,521.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.