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Finding the Third Proportional to 811,387.13 and 1,263,007.69

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Solution

The third proportional to 811,387.13 and 1,263,007.69 is: 1,966,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,387.13 : 1,263,007.69 = 1,263,007.69 : x
  2. Step 2: Convert to fraction form
    811,387.13/1,263,007.69 = 1,263,007.69/x
  3. Step 3: Cross multiply
    811,387.13x = 1,263,007.69 × 1,263,007.69
  4. Step 4: Simplify right side
    811,387.13x = 1,595,188,418,684.10
  5. Step 5: Solve for x
    x = 1,595,188,418,684.10/811,387.13
  6. Step 6: Final answer
    x = 1,966,001.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.