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Finding the Third Proportional to 457,061 and 990,390

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Solution

The third proportional to 457,061 and 990,390 is: 2,146,042.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,061 : 990,390 = 990,390 : x
  2. Step 2: Convert to fraction form
    457,061/990,390 = 990,390/x
  3. Step 3: Cross multiply
    457,061x = 990,390 × 990,390
  4. Step 4: Simplify right side
    457,061x = 980,872,352,100
  5. Step 5: Solve for x
    x = 980,872,352,100/457,061
  6. Step 6: Final answer
    x = 2,146,042.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.