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Finding the Third Proportional to 2,415,464 and 5,264,980

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Solution

The third proportional to 2,415,464 and 5,264,980 is: 11,476,061.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415,464 : 5,264,980 = 5,264,980 : x
  2. Step 2: Convert to fraction form
    2,415,464/5,264,980 = 5,264,980/x
  3. Step 3: Cross multiply
    2,415,464x = 5,264,980 × 5,264,980
  4. Step 4: Simplify right side
    2,415,464x = 27,720,014,400,400
  5. Step 5: Solve for x
    x = 27,720,014,400,400/2,415,464
  6. Step 6: Final answer
    x = 11,476,061.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.