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Finding the Third Proportional to 782,536 and 1,715,084

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Solution

The third proportional to 782,536 and 1,715,084 is: 3,758,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,536 : 1,715,084 = 1,715,084 : x
  2. Step 2: Convert to fraction form
    782,536/1,715,084 = 1,715,084/x
  3. Step 3: Cross multiply
    782,536x = 1,715,084 × 1,715,084
  4. Step 4: Simplify right side
    782,536x = 2,941,513,127,056
  5. Step 5: Solve for x
    x = 2,941,513,127,056/782,536
  6. Step 6: Final answer
    x = 3,758,949.27

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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.