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Finding the Third Proportional to 2,744,400 and 6,018,786

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Solution

The third proportional to 2,744,400 and 6,018,786 is: 13,199,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744,400 : 6,018,786 = 6,018,786 : x
  2. Step 2: Convert to fraction form
    2,744,400/6,018,786 = 6,018,786/x
  3. Step 3: Cross multiply
    2,744,400x = 6,018,786 × 6,018,786
  4. Step 4: Simplify right side
    2,744,400x = 36,225,784,913,796
  5. Step 5: Solve for x
    x = 36,225,784,913,796/2,744,400
  6. Step 6: Final answer
    x = 13,199,892.48

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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.