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Finding the Third Proportional to 398,472 and 859,914

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Solution

The third proportional to 398,472 and 859,914 is: 1,855,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,472 : 859,914 = 859,914 : x
  2. Step 2: Convert to fraction form
    398,472/859,914 = 859,914/x
  3. Step 3: Cross multiply
    398,472x = 859,914 × 859,914
  4. Step 4: Simplify right side
    398,472x = 739,452,087,396
  5. Step 5: Solve for x
    x = 739,452,087,396/398,472
  6. Step 6: Final answer
    x = 1,855,719.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.