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Finding the Third Proportional to 1,311,835.50 and 2,866,671

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Solution

The third proportional to 1,311,835.50 and 2,866,671 is: 6,264,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,835.50 : 2,866,671 = 2,866,671 : x
  2. Step 2: Convert to fraction form
    1,311,835.50/2,866,671 = 2,866,671/x
  3. Step 3: Cross multiply
    1,311,835.50x = 2,866,671 × 2,866,671
  4. Step 4: Simplify right side
    1,311,835.50x = 8,217,802,622,241
  5. Step 5: Solve for x
    x = 8,217,802,622,241/1,311,835.50
  6. Step 6: Final answer
    x = 6,264,354.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.