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Finding the Third Proportional to 997,566.75 and 2,074,743

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Solution

The third proportional to 997,566.75 and 2,074,743 is: 4,315,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,566.75 : 2,074,743 = 2,074,743 : x
  2. Step 2: Convert to fraction form
    997,566.75/2,074,743 = 2,074,743/x
  3. Step 3: Cross multiply
    997,566.75x = 2,074,743 × 2,074,743
  4. Step 4: Simplify right side
    997,566.75x = 4,304,558,516,049
  5. Step 5: Solve for x
    x = 4,304,558,516,049/997,566.75
  6. Step 6: Final answer
    x = 4,315,058.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.