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Finding the Third Proportional to 402,152 and 866,084

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Solution

The third proportional to 402,152 and 866,084 is: 1,865,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,152 : 866,084 = 866,084 : x
  2. Step 2: Convert to fraction form
    402,152/866,084 = 866,084/x
  3. Step 3: Cross multiply
    402,152x = 866,084 × 866,084
  4. Step 4: Simplify right side
    402,152x = 750,101,495,056
  5. Step 5: Solve for x
    x = 750,101,495,056/402,152
  6. Step 6: Final answer
    x = 1,865,218.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.