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Finding the Third Proportional to 407,206 and 868,494

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Solution

The third proportional to 407,206 and 868,494 is: 1,852,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,206 : 868,494 = 868,494 : x
  2. Step 2: Convert to fraction form
    407,206/868,494 = 868,494/x
  3. Step 3: Cross multiply
    407,206x = 868,494 × 868,494
  4. Step 4: Simplify right side
    407,206x = 754,281,828,036
  5. Step 5: Solve for x
    x = 754,281,828,036/407,206
  6. Step 6: Final answer
    x = 1,852,334.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.