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Finding the Third Proportional to 427,034.53 and 928,801.69

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Solution

The third proportional to 427,034.53 and 928,801.69 is: 2,020,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,034.53 : 928,801.69 = 928,801.69 : x
  2. Step 2: Convert to fraction form
    427,034.53/928,801.69 = 928,801.69/x
  3. Step 3: Cross multiply
    427,034.53x = 928,801.69 × 928,801.69
  4. Step 4: Simplify right side
    427,034.53x = 862,672,574,702.85
  5. Step 5: Solve for x
    x = 862,672,574,702.85/427,034.53
  6. Step 6: Final answer
    x = 2,020,147.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.