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Finding the Third Proportional to 402,952 and 883,404

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Solution

The third proportional to 402,952 and 883,404 is: 1,936,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,952 : 883,404 = 883,404 : x
  2. Step 2: Convert to fraction form
    402,952/883,404 = 883,404/x
  3. Step 3: Cross multiply
    402,952x = 883,404 × 883,404
  4. Step 4: Simplify right side
    402,952x = 780,402,627,216
  5. Step 5: Solve for x
    x = 780,402,627,216/402,952
  6. Step 6: Final answer
    x = 1,936,713.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.