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Finding the Third Proportional to 407,012 and 884,048

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Solution

The third proportional to 407,012 and 884,048 is: 1,920,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,012 : 884,048 = 884,048 : x
  2. Step 2: Convert to fraction form
    407,012/884,048 = 884,048/x
  3. Step 3: Cross multiply
    407,012x = 884,048 × 884,048
  4. Step 4: Simplify right side
    407,012x = 781,540,866,304
  5. Step 5: Solve for x
    x = 781,540,866,304/407,012
  6. Step 6: Final answer
    x = 1,920,191.21

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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.