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Finding the Third Proportional to 416,566 and 862,670

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Solution

The third proportional to 416,566 and 862,670 is: 1,786,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,566 : 862,670 = 862,670 : x
  2. Step 2: Convert to fraction form
    416,566/862,670 = 862,670/x
  3. Step 3: Cross multiply
    416,566x = 862,670 × 862,670
  4. Step 4: Simplify right side
    416,566x = 744,199,528,900
  5. Step 5: Solve for x
    x = 744,199,528,900/416,566
  6. Step 6: Final answer
    x = 1,786,510.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.