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Finding the Third Proportional to 2,449,620 and 5,195,730

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Solution

The third proportional to 2,449,620 and 5,195,730 is: 11,020,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449,620 : 5,195,730 = 5,195,730 : x
  2. Step 2: Convert to fraction form
    2,449,620/5,195,730 = 5,195,730/x
  3. Step 3: Cross multiply
    2,449,620x = 5,195,730 × 5,195,730
  4. Step 4: Simplify right side
    2,449,620x = 26,995,610,232,900
  5. Step 5: Solve for x
    x = 26,995,610,232,900/2,449,620
  6. Step 6: Final answer
    x = 11,020,325.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.