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Finding the Third Proportional to 2,577,111 and 3,786,777

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Solution

The third proportional to 2,577,111 and 3,786,777 is: 5,564,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577,111 : 3,786,777 = 3,786,777 : x
  2. Step 2: Convert to fraction form
    2,577,111/3,786,777 = 3,786,777/x
  3. Step 3: Cross multiply
    2,577,111x = 3,786,777 × 3,786,777
  4. Step 4: Simplify right side
    2,577,111x = 14,339,680,047,729
  5. Step 5: Solve for x
    x = 14,339,680,047,729/2,577,111
  6. Step 6: Final answer
    x = 5,564,246.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.