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Finding the Third Proportional to 2,425,115 and 4,041,633

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Solution

The third proportional to 2,425,115 and 4,041,633 is: 6,735,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425,115 : 4,041,633 = 4,041,633 : x
  2. Step 2: Convert to fraction form
    2,425,115/4,041,633 = 4,041,633/x
  3. Step 3: Cross multiply
    2,425,115x = 4,041,633 × 4,041,633
  4. Step 4: Simplify right side
    2,425,115x = 16,334,797,306,689
  5. Step 5: Solve for x
    x = 16,334,797,306,689/2,425,115
  6. Step 6: Final answer
    x = 6,735,679.47

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.