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Finding the Third Proportional to 411,012 and 644,922

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Solution

The third proportional to 411,012 and 644,922 is: 1,011,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,012 : 644,922 = 644,922 : x
  2. Step 2: Convert to fraction form
    411,012/644,922 = 644,922/x
  3. Step 3: Cross multiply
    411,012x = 644,922 × 644,922
  4. Step 4: Simplify right side
    411,012x = 415,924,386,084
  5. Step 5: Solve for x
    x = 415,924,386,084/411,012
  6. Step 6: Final answer
    x = 1,011,951.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.