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Finding the Third Proportional to 721,145 and 1,538,822.50

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Solution

The third proportional to 721,145 and 1,538,822.50 is: 3,283,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,145 : 1,538,822.50 = 1,538,822.50 : x
  2. Step 2: Convert to fraction form
    721,145/1,538,822.50 = 1,538,822.50/x
  3. Step 3: Cross multiply
    721,145x = 1,538,822.50 × 1,538,822.50
  4. Step 4: Simplify right side
    721,145x = 2,367,974,686,506.25
  5. Step 5: Solve for x
    x = 2,367,974,686,506.25/721,145
  6. Step 6: Final answer
    x = 3,283,631.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.