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Finding the Third Proportional to 721,770.75 and 1,461,037.50

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Solution

The third proportional to 721,770.75 and 1,461,037.50 is: 2,957,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,770.75 : 1,461,037.50 = 1,461,037.50 : x
  2. Step 2: Convert to fraction form
    721,770.75/1,461,037.50 = 1,461,037.50/x
  3. Step 3: Cross multiply
    721,770.75x = 1,461,037.50 × 1,461,037.50
  4. Step 4: Simplify right side
    721,770.75x = 2,134,630,576,406.25
  5. Step 5: Solve for x
    x = 2,134,630,576,406.25/721,770.75
  6. Step 6: Final answer
    x = 2,957,491.11

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.