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Finding the Third Proportional to 412,185 and 868,650

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Solution

The third proportional to 412,185 and 868,650 is: 1,830,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,185 : 868,650 = 868,650 : x
  2. Step 2: Convert to fraction form
    412,185/868,650 = 868,650/x
  3. Step 3: Cross multiply
    412,185x = 868,650 × 868,650
  4. Step 4: Simplify right side
    412,185x = 754,552,822,500
  5. Step 5: Solve for x
    x = 754,552,822,500/412,185
  6. Step 6: Final answer
    x = 1,830,616.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.