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Finding the Third Proportional to 2,580,354 and 6,026,471

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Solution

The third proportional to 2,580,354 and 6,026,471 is: 14,074,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580,354 : 6,026,471 = 6,026,471 : x
  2. Step 2: Convert to fraction form
    2,580,354/6,026,471 = 6,026,471/x
  3. Step 3: Cross multiply
    2,580,354x = 6,026,471 × 6,026,471
  4. Step 4: Simplify right side
    2,580,354x = 36,318,352,713,841
  5. Step 5: Solve for x
    x = 36,318,352,713,841/2,580,354
  6. Step 6: Final answer
    x = 14,074,949.68

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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.