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Finding the Third Proportional to 411,048 and 891,972

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Solution

The third proportional to 411,048 and 891,972 is: 1,935,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,048 : 891,972 = 891,972 : x
  2. Step 2: Convert to fraction form
    411,048/891,972 = 891,972/x
  3. Step 3: Cross multiply
    411,048x = 891,972 × 891,972
  4. Step 4: Simplify right side
    411,048x = 795,614,048,784
  5. Step 5: Solve for x
    x = 795,614,048,784/411,048
  6. Step 6: Final answer
    x = 1,935,574.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.