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Finding the Third Proportional to 1,208,666.50 and 1,813,000

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Solution

The third proportional to 1,208,666.50 and 1,813,000 is: 2,719,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208,666.50 : 1,813,000 = 1,813,000 : x
  2. Step 2: Convert to fraction form
    1,208,666.50/1,813,000 = 1,813,000/x
  3. Step 3: Cross multiply
    1,208,666.50x = 1,813,000 × 1,813,000
  4. Step 4: Simplify right side
    1,208,666.50x = 3,286,969,000,000
  5. Step 5: Solve for x
    x = 3,286,969,000,000/1,208,666.50
  6. Step 6: Final answer
    x = 2,719,500.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.