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Finding the Third Proportional to 2,571,404 and 5,475,778

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Solution

The third proportional to 2,571,404 and 5,475,778 is: 11,660,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571,404 : 5,475,778 = 5,475,778 : x
  2. Step 2: Convert to fraction form
    2,571,404/5,475,778 = 5,475,778/x
  3. Step 3: Cross multiply
    2,571,404x = 5,475,778 × 5,475,778
  4. Step 4: Simplify right side
    2,571,404x = 29,984,144,705,284
  5. Step 5: Solve for x
    x = 29,984,144,705,284/2,571,404
  6. Step 6: Final answer
    x = 11,660,612.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.