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Finding the Third Proportional to 1,182,496 and 2,593,903

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Solution

The third proportional to 1,182,496 and 2,593,903 is: 5,689,941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,496 : 2,593,903 = 2,593,903 : x
  2. Step 2: Convert to fraction form
    1,182,496/2,593,903 = 2,593,903/x
  3. Step 3: Cross multiply
    1,182,496x = 2,593,903 × 2,593,903
  4. Step 4: Simplify right side
    1,182,496x = 6,728,332,773,409
  5. Step 5: Solve for x
    x = 6,728,332,773,409/1,182,496
  6. Step 6: Final answer
    x = 5,689,941.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.