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Finding the Third Proportional to 861,984 and 1,853,685

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Solution

The third proportional to 861,984 and 1,853,685 is: 3,986,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,984 : 1,853,685 = 1,853,685 : x
  2. Step 2: Convert to fraction form
    861,984/1,853,685 = 1,853,685/x
  3. Step 3: Cross multiply
    861,984x = 1,853,685 × 1,853,685
  4. Step 4: Simplify right side
    861,984x = 3,436,148,079,225
  5. Step 5: Solve for x
    x = 3,436,148,079,225/861,984
  6. Step 6: Final answer
    x = 3,986,324.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.