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Finding the Third Proportional to 444,266 and 866,386

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Solution

The third proportional to 444,266 and 866,386 is: 1,689,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,266 : 866,386 = 866,386 : x
  2. Step 2: Convert to fraction form
    444,266/866,386 = 866,386/x
  3. Step 3: Cross multiply
    444,266x = 866,386 × 866,386
  4. Step 4: Simplify right side
    444,266x = 750,624,700,996
  5. Step 5: Solve for x
    x = 750,624,700,996/444,266
  6. Step 6: Final answer
    x = 1,689,583.95

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.