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Finding the Third Proportional to 867,522 and 1,840,020

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Solution

The third proportional to 867,522 and 1,840,020 is: 3,902,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,522 : 1,840,020 = 1,840,020 : x
  2. Step 2: Convert to fraction form
    867,522/1,840,020 = 1,840,020/x
  3. Step 3: Cross multiply
    867,522x = 1,840,020 × 1,840,020
  4. Step 4: Simplify right side
    867,522x = 3,385,673,600,400
  5. Step 5: Solve for x
    x = 3,385,673,600,400/867,522
  6. Step 6: Final answer
    x = 3,902,694.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.