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Finding the Third Proportional to 2,349,439 and 3,738,437

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Solution

The third proportional to 2,349,439 and 3,738,437 is: 5,948,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349,439 : 3,738,437 = 3,738,437 : x
  2. Step 2: Convert to fraction form
    2,349,439/3,738,437 = 3,738,437/x
  3. Step 3: Cross multiply
    2,349,439x = 3,738,437 × 3,738,437
  4. Step 4: Simplify right side
    2,349,439x = 13,975,911,202,969
  5. Step 5: Solve for x
    x = 13,975,911,202,969/2,349,439
  6. Step 6: Final answer
    x = 5,948,616.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.