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Finding the Third Proportional to 862,329 and 1,813,960.50

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Solution

The third proportional to 862,329 and 1,813,960.50 is: 3,815,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,329 : 1,813,960.50 = 1,813,960.50 : x
  2. Step 2: Convert to fraction form
    862,329/1,813,960.50 = 1,813,960.50/x
  3. Step 3: Cross multiply
    862,329x = 1,813,960.50 × 1,813,960.50
  4. Step 4: Simplify right side
    862,329x = 3,290,452,695,560.25
  5. Step 5: Solve for x
    x = 3,290,452,695,560.25/862,329
  6. Step 6: Final answer
    x = 3,815,774.14

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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.