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Finding the Third Proportional to 403,624 and 885,972

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Solution

The third proportional to 403,624 and 885,972 is: 1,944,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,624 : 885,972 = 885,972 : x
  2. Step 2: Convert to fraction form
    403,624/885,972 = 885,972/x
  3. Step 3: Cross multiply
    403,624x = 885,972 × 885,972
  4. Step 4: Simplify right side
    403,624x = 784,946,384,784
  5. Step 5: Solve for x
    x = 784,946,384,784/403,624
  6. Step 6: Final answer
    x = 1,944,746.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.