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Finding the Third Proportional to 2,569,775 and 5,713,984

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Solution

The third proportional to 2,569,775 and 5,713,984 is: 12,705,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,775 : 5,713,984 = 5,713,984 : x
  2. Step 2: Convert to fraction form
    2,569,775/5,713,984 = 5,713,984/x
  3. Step 3: Cross multiply
    2,569,775x = 5,713,984 × 5,713,984
  4. Step 4: Simplify right side
    2,569,775x = 32,649,613,152,256
  5. Step 5: Solve for x
    x = 32,649,613,152,256/2,569,775
  6. Step 6: Final answer
    x = 12,705,241.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.