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Finding the Third Proportional to 2,961,048 and 6,429,464

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Solution

The third proportional to 2,961,048 and 6,429,464 is: 13,960,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961,048 : 6,429,464 = 6,429,464 : x
  2. Step 2: Convert to fraction form
    2,961,048/6,429,464 = 6,429,464/x
  3. Step 3: Cross multiply
    2,961,048x = 6,429,464 × 6,429,464
  4. Step 4: Simplify right side
    2,961,048x = 41,338,007,327,296
  5. Step 5: Solve for x
    x = 41,338,007,327,296/2,961,048
  6. Step 6: Final answer
    x = 13,960,600.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.