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Finding the Third Proportional to 842,983.14 and 1,846,397.53

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Solution

The third proportional to 842,983.14 and 1,846,397.53 is: 4,044,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,983.14 : 1,846,397.53 = 1,846,397.53 : x
  2. Step 2: Convert to fraction form
    842,983.14/1,846,397.53 = 1,846,397.53/x
  3. Step 3: Cross multiply
    842,983.14x = 1,846,397.53 × 1,846,397.53
  4. Step 4: Simplify right side
    842,983.14x = 3,409,183,843,406.10
  5. Step 5: Solve for x
    x = 3,409,183,843,406.10/842,983.14
  6. Step 6: Final answer
    x = 4,044,189.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.