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Finding the Third Proportional to 492,641 and 1,061,249

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Solution

The third proportional to 492,641 and 1,061,249 is: 2,286,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,641 : 1,061,249 = 1,061,249 : x
  2. Step 2: Convert to fraction form
    492,641/1,061,249 = 1,061,249/x
  3. Step 3: Cross multiply
    492,641x = 1,061,249 × 1,061,249
  4. Step 4: Simplify right side
    492,641x = 1,126,249,440,001
  5. Step 5: Solve for x
    x = 1,126,249,440,001/492,641
  6. Step 6: Final answer
    x = 2,286,146.38

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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.