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Finding the Third Proportional to 2,144,727 and 3,151,419.75

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Solution

The third proportional to 2,144,727 and 3,151,419.75 is: 4,630,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144,727 : 3,151,419.75 = 3,151,419.75 : x
  2. Step 2: Convert to fraction form
    2,144,727/3,151,419.75 = 3,151,419.75/x
  3. Step 3: Cross multiply
    2,144,727x = 3,151,419.75 × 3,151,419.75
  4. Step 4: Simplify right side
    2,144,727x = 9,931,446,440,690.06
  5. Step 5: Solve for x
    x = 9,931,446,440,690.06/2,144,727
  6. Step 6: Final answer
    x = 4,630,634.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.