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Finding the Third Proportional to 784,438.50 and 1,712,734

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Solution

The third proportional to 784,438.50 and 1,712,734 is: 3,739,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,438.50 : 1,712,734 = 1,712,734 : x
  2. Step 2: Convert to fraction form
    784,438.50/1,712,734 = 1,712,734/x
  3. Step 3: Cross multiply
    784,438.50x = 1,712,734 × 1,712,734
  4. Step 4: Simplify right side
    784,438.50x = 2,933,457,754,756
  5. Step 5: Solve for x
    x = 2,933,457,754,756/784,438.50
  6. Step 6: Final answer
    x = 3,739,563.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.