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Finding the Third Proportional to 2,618,919 and 5,724,810

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Solution

The third proportional to 2,618,919 and 5,724,810 is: 12,514,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618,919 : 5,724,810 = 5,724,810 : x
  2. Step 2: Convert to fraction form
    2,618,919/5,724,810 = 5,724,810/x
  3. Step 3: Cross multiply
    2,618,919x = 5,724,810 × 5,724,810
  4. Step 4: Simplify right side
    2,618,919x = 32,773,449,536,100
  5. Step 5: Solve for x
    x = 32,773,449,536,100/2,618,919
  6. Step 6: Final answer
    x = 12,514,113.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.