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Finding the Third Proportional to 3,135,314 and 4,690,785

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Solution

The third proportional to 3,135,314 and 4,690,785 is: 7,017,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135,314 : 4,690,785 = 4,690,785 : x
  2. Step 2: Convert to fraction form
    3,135,314/4,690,785 = 4,690,785/x
  3. Step 3: Cross multiply
    3,135,314x = 4,690,785 × 4,690,785
  4. Step 4: Simplify right side
    3,135,314x = 22,003,463,916,225
  5. Step 5: Solve for x
    x = 22,003,463,916,225/3,135,314
  6. Step 6: Final answer
    x = 7,017,945.86

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Why These Related Problems?

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