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Finding the Third Proportional to 1,280,313 and 1,982,299.50

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Solution

The third proportional to 1,280,313 and 1,982,299.50 is: 3,069,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,313 : 1,982,299.50 = 1,982,299.50 : x
  2. Step 2: Convert to fraction form
    1,280,313/1,982,299.50 = 1,982,299.50/x
  3. Step 3: Cross multiply
    1,280,313x = 1,982,299.50 × 1,982,299.50
  4. Step 4: Simplify right side
    1,280,313x = 3,929,511,307,700.25
  5. Step 5: Solve for x
    x = 3,929,511,307,700.25/1,280,313
  6. Step 6: Final answer
    x = 3,069,180.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.