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Finding the Third Proportional to 3,832,410 and 6,011,911

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Solution

The third proportional to 3,832,410 and 6,011,911 is: 9,430,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832,410 : 6,011,911 = 6,011,911 : x
  2. Step 2: Convert to fraction form
    3,832,410/6,011,911 = 6,011,911/x
  3. Step 3: Cross multiply
    3,832,410x = 6,011,911 × 6,011,911
  4. Step 4: Simplify right side
    3,832,410x = 36,143,073,871,921
  5. Step 5: Solve for x
    x = 36,143,073,871,921/3,832,410
  6. Step 6: Final answer
    x = 9,430,899.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.