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Finding the Third Proportional to 811,502.44 and 1,266,384.38

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Solution

The third proportional to 811,502.44 and 1,266,384.38 is: 1,976,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,502.44 : 1,266,384.38 = 1,266,384.38 : x
  2. Step 2: Convert to fraction form
    811,502.44/1,266,384.38 = 1,266,384.38/x
  3. Step 3: Cross multiply
    811,502.44x = 1,266,384.38 × 1,266,384.38
  4. Step 4: Simplify right side
    811,502.44x = 1,603,729,385,244.14
  5. Step 5: Solve for x
    x = 1,603,729,385,244.14/811,502.44
  6. Step 6: Final answer
    x = 1,976,247.16

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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.