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Finding the Third Proportional to 413,120 and 902,048

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Solution

The third proportional to 413,120 and 902,048 is: 1,969,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,120 : 902,048 = 902,048 : x
  2. Step 2: Convert to fraction form
    413,120/902,048 = 902,048/x
  3. Step 3: Cross multiply
    413,120x = 902,048 × 902,048
  4. Step 4: Simplify right side
    413,120x = 813,690,594,304
  5. Step 5: Solve for x
    x = 813,690,594,304/413,120
  6. Step 6: Final answer
    x = 1,969,622.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.