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Finding the Third Proportional to 642,340 and 1,399,068

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Solution

The third proportional to 642,340 and 1,399,068 is: 3,047,282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,340 : 1,399,068 = 1,399,068 : x
  2. Step 2: Convert to fraction form
    642,340/1,399,068 = 1,399,068/x
  3. Step 3: Cross multiply
    642,340x = 1,399,068 × 1,399,068
  4. Step 4: Simplify right side
    642,340x = 1,957,391,268,624
  5. Step 5: Solve for x
    x = 1,957,391,268,624/642,340
  6. Step 6: Final answer
    x = 3,047,282.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.