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Finding the Third Proportional to 2,077,410 and 3,107,802

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Solution

The third proportional to 2,077,410 and 3,107,802 is: 4,649,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,410 : 3,107,802 = 3,107,802 : x
  2. Step 2: Convert to fraction form
    2,077,410/3,107,802 = 3,107,802/x
  3. Step 3: Cross multiply
    2,077,410x = 3,107,802 × 3,107,802
  4. Step 4: Simplify right side
    2,077,410x = 9,658,433,271,204
  5. Step 5: Solve for x
    x = 9,658,433,271,204/2,077,410
  6. Step 6: Final answer
    x = 4,649,266.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.