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Finding the Third Proportional to 434,464.31 and 946,162.13

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Solution

The third proportional to 434,464.31 and 946,162.13 is: 2,060,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,464.31 : 946,162.13 = 946,162.13 : x
  2. Step 2: Convert to fraction form
    434,464.31/946,162.13 = 946,162.13/x
  3. Step 3: Cross multiply
    434,464.31x = 946,162.13 × 946,162.13
  4. Step 4: Simplify right side
    434,464.31x = 895,222,766,784.52
  5. Step 5: Solve for x
    x = 895,222,766,784.52/434,464.31
  6. Step 6: Final answer
    x = 2,060,520.83

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Why These Related Problems?

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