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Finding the Third Proportional to 820,123 and 1,104,048

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Solution

The third proportional to 820,123 and 1,104,048 is: 1,486,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,123 : 1,104,048 = 1,104,048 : x
  2. Step 2: Convert to fraction form
    820,123/1,104,048 = 1,104,048/x
  3. Step 3: Cross multiply
    820,123x = 1,104,048 × 1,104,048
  4. Step 4: Simplify right side
    820,123x = 1,218,921,986,304
  5. Step 5: Solve for x
    x = 1,218,921,986,304/820,123
  6. Step 6: Final answer
    x = 1,486,267.29

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.