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Finding the Third Proportional to 393,506 and 869,708

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Solution

The third proportional to 393,506 and 869,708 is: 1,922,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,506 : 869,708 = 869,708 : x
  2. Step 2: Convert to fraction form
    393,506/869,708 = 869,708/x
  3. Step 3: Cross multiply
    393,506x = 869,708 × 869,708
  4. Step 4: Simplify right side
    393,506x = 756,392,005,264
  5. Step 5: Solve for x
    x = 756,392,005,264/393,506
  6. Step 6: Final answer
    x = 1,922,186.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.