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Finding the Third Proportional to 3,401,438 and 5,266,464

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Solution

The third proportional to 3,401,438 and 5,266,464 is: 8,154,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401,438 : 5,266,464 = 5,266,464 : x
  2. Step 2: Convert to fraction form
    3,401,438/5,266,464 = 5,266,464/x
  3. Step 3: Cross multiply
    3,401,438x = 5,266,464 × 5,266,464
  4. Step 4: Simplify right side
    3,401,438x = 27,735,643,063,296
  5. Step 5: Solve for x
    x = 27,735,643,063,296/3,401,438
  6. Step 6: Final answer
    x = 8,154,093.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.