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Finding the Third Proportional to 1,265,774 and 2,578,549

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Solution

The third proportional to 1,265,774 and 2,578,549 is: 5,252,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,774 : 2,578,549 = 2,578,549 : x
  2. Step 2: Convert to fraction form
    1,265,774/2,578,549 = 2,578,549/x
  3. Step 3: Cross multiply
    1,265,774x = 2,578,549 × 2,578,549
  4. Step 4: Simplify right side
    1,265,774x = 6,648,914,945,401
  5. Step 5: Solve for x
    x = 6,648,914,945,401/1,265,774
  6. Step 6: Final answer
    x = 5,252,845.25

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.