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Finding the Third Proportional to 861,184 and 1,853,984

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Solution

The third proportional to 861,184 and 1,853,984 is: 3,991,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,184 : 1,853,984 = 1,853,984 : x
  2. Step 2: Convert to fraction form
    861,184/1,853,984 = 1,853,984/x
  3. Step 3: Cross multiply
    861,184x = 1,853,984 × 1,853,984
  4. Step 4: Simplify right side
    861,184x = 3,437,256,672,256
  5. Step 5: Solve for x
    x = 3,437,256,672,256/861,184
  6. Step 6: Final answer
    x = 3,991,315.06

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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.