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Finding the Third Proportional to 811,644 and 1,266,592

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Solution

The third proportional to 811,644 and 1,266,592 is: 1,976,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,644 : 1,266,592 = 1,266,592 : x
  2. Step 2: Convert to fraction form
    811,644/1,266,592 = 1,266,592/x
  3. Step 3: Cross multiply
    811,644x = 1,266,592 × 1,266,592
  4. Step 4: Simplify right side
    811,644x = 1,604,255,294,464
  5. Step 5: Solve for x
    x = 1,604,255,294,464/811,644
  6. Step 6: Final answer
    x = 1,976,550.43

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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.