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Finding the Third Proportional to 862,328 and 1,813,959

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Solution

The third proportional to 862,328 and 1,813,959 is: 3,815,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,328 : 1,813,959 = 1,813,959 : x
  2. Step 2: Convert to fraction form
    862,328/1,813,959 = 1,813,959/x
  3. Step 3: Cross multiply
    862,328x = 1,813,959 × 1,813,959
  4. Step 4: Simplify right side
    862,328x = 3,290,447,253,681
  5. Step 5: Solve for x
    x = 3,290,447,253,681/862,328
  6. Step 6: Final answer
    x = 3,815,772.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.