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Finding the Third Proportional to 417,294 and 869,883

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Solution

The third proportional to 417,294 and 869,883 is: 1,813,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,294 : 869,883 = 869,883 : x
  2. Step 2: Convert to fraction form
    417,294/869,883 = 869,883/x
  3. Step 3: Cross multiply
    417,294x = 869,883 × 869,883
  4. Step 4: Simplify right side
    417,294x = 756,696,433,689
  5. Step 5: Solve for x
    x = 756,696,433,689/417,294
  6. Step 6: Final answer
    x = 1,813,341.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.