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Finding the Third Proportional to 2,477,065 and 3,669,657

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Solution

The third proportional to 2,477,065 and 3,669,657 is: 5,436,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,065 : 3,669,657 = 3,669,657 : x
  2. Step 2: Convert to fraction form
    2,477,065/3,669,657 = 3,669,657/x
  3. Step 3: Cross multiply
    2,477,065x = 3,669,657 × 3,669,657
  4. Step 4: Simplify right side
    2,477,065x = 13,466,382,497,649
  5. Step 5: Solve for x
    x = 13,466,382,497,649/2,477,065
  6. Step 6: Final answer
    x = 5,436,426.78

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.