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Finding the Third Proportional to 2,657,450 and 6,238,787

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Solution

The third proportional to 2,657,450 and 6,238,787 is: 14,646,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657,450 : 6,238,787 = 6,238,787 : x
  2. Step 2: Convert to fraction form
    2,657,450/6,238,787 = 6,238,787/x
  3. Step 3: Cross multiply
    2,657,450x = 6,238,787 × 6,238,787
  4. Step 4: Simplify right side
    2,657,450x = 38,922,463,231,369
  5. Step 5: Solve for x
    x = 38,922,463,231,369/2,657,450
  6. Step 6: Final answer
    x = 14,646,545.84

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.