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Finding the Third Proportional to 704,113.50 and 1,520,462.63

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Solution

The third proportional to 704,113.50 and 1,520,462.63 is: 3,283,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,113.50 : 1,520,462.63 = 1,520,462.63 : x
  2. Step 2: Convert to fraction form
    704,113.50/1,520,462.63 = 1,520,462.63/x
  3. Step 3: Cross multiply
    704,113.50x = 1,520,462.63 × 1,520,462.63
  4. Step 4: Simplify right side
    704,113.50x = 2,311,806,594,021.89
  5. Step 5: Solve for x
    x = 2,311,806,594,021.89/704,113.50
  6. Step 6: Final answer
    x = 3,283,286.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.