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Finding the Third Proportional to 3,243,170 and 4,974,702

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Solution

The third proportional to 3,243,170 and 4,974,702 is: 7,630,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243,170 : 4,974,702 = 4,974,702 : x
  2. Step 2: Convert to fraction form
    3,243,170/4,974,702 = 4,974,702/x
  3. Step 3: Cross multiply
    3,243,170x = 4,974,702 × 4,974,702
  4. Step 4: Simplify right side
    3,243,170x = 24,747,659,988,804
  5. Step 5: Solve for x
    x = 24,747,659,988,804/3,243,170
  6. Step 6: Final answer
    x = 7,630,700.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.