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Finding the Third Proportional to 2,593,377 and 4,166,862.75

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Solution

The third proportional to 2,593,377 and 4,166,862.75 is: 6,695,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593,377 : 4,166,862.75 = 4,166,862.75 : x
  2. Step 2: Convert to fraction form
    2,593,377/4,166,862.75 = 4,166,862.75/x
  3. Step 3: Cross multiply
    2,593,377x = 4,166,862.75 × 4,166,862.75
  4. Step 4: Simplify right side
    2,593,377x = 17,362,745,177,337.56
  5. Step 5: Solve for x
    x = 17,362,745,177,337.56/2,593,377
  6. Step 6: Final answer
    x = 6,695,033.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.