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Finding the Third Proportional to 1,200,766 and 1,857,261

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Solution

The third proportional to 1,200,766 and 1,857,261 is: 2,872,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,766 : 1,857,261 = 1,857,261 : x
  2. Step 2: Convert to fraction form
    1,200,766/1,857,261 = 1,857,261/x
  3. Step 3: Cross multiply
    1,200,766x = 1,857,261 × 1,857,261
  4. Step 4: Simplify right side
    1,200,766x = 3,449,418,422,121
  5. Step 5: Solve for x
    x = 3,449,418,422,121/1,200,766
  6. Step 6: Final answer
    x = 2,872,681.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.