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Finding the Third Proportional to 809,464 and 1,187,952

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Solution

The third proportional to 809,464 and 1,187,952 is: 1,743,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,464 : 1,187,952 = 1,187,952 : x
  2. Step 2: Convert to fraction form
    809,464/1,187,952 = 1,187,952/x
  3. Step 3: Cross multiply
    809,464x = 1,187,952 × 1,187,952
  4. Step 4: Simplify right side
    809,464x = 1,411,229,954,304
  5. Step 5: Solve for x
    x = 1,411,229,954,304/809,464
  6. Step 6: Final answer
    x = 1,743,412.87

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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.