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Finding the Third Proportional to 415,671.75 and 895,438.13

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Solution

The third proportional to 415,671.75 and 895,438.13 is: 1,928,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,671.75 : 895,438.13 = 895,438.13 : x
  2. Step 2: Convert to fraction form
    415,671.75/895,438.13 = 895,438.13/x
  3. Step 3: Cross multiply
    415,671.75x = 895,438.13 × 895,438.13
  4. Step 4: Simplify right side
    415,671.75x = 801,809,435,703.52
  5. Step 5: Solve for x
    x = 801,809,435,703.52/415,671.75
  6. Step 6: Final answer
    x = 1,928,948.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.