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Finding the Third Proportional to 2,463,284 and 5,755,342

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Solution

The third proportional to 2,463,284 and 5,755,342 is: 13,447,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463,284 : 5,755,342 = 5,755,342 : x
  2. Step 2: Convert to fraction form
    2,463,284/5,755,342 = 5,755,342/x
  3. Step 3: Cross multiply
    2,463,284x = 5,755,342 × 5,755,342
  4. Step 4: Simplify right side
    2,463,284x = 33,123,961,536,964
  5. Step 5: Solve for x
    x = 33,123,961,536,964/2,463,284
  6. Step 6: Final answer
    x = 13,447,073.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.