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Finding the Third Proportional to 3,219,759 and 4,357,246.50

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Solution

The third proportional to 3,219,759 and 4,357,246.50 is: 5,896,589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219,759 : 4,357,246.50 = 4,357,246.50 : x
  2. Step 2: Convert to fraction form
    3,219,759/4,357,246.50 = 4,357,246.50/x
  3. Step 3: Cross multiply
    3,219,759x = 4,357,246.50 × 4,357,246.50
  4. Step 4: Simplify right side
    3,219,759x = 18,985,597,061,762.25
  5. Step 5: Solve for x
    x = 18,985,597,061,762.25/3,219,759
  6. Step 6: Final answer
    x = 5,896,589.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.