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Finding the Third Proportional to 945,702 and 2,052,156

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Solution

The third proportional to 945,702 and 2,052,156 is: 4,453,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,702 : 2,052,156 = 2,052,156 : x
  2. Step 2: Convert to fraction form
    945,702/2,052,156 = 2,052,156/x
  3. Step 3: Cross multiply
    945,702x = 2,052,156 × 2,052,156
  4. Step 4: Simplify right side
    945,702x = 4,211,344,248,336
  5. Step 5: Solve for x
    x = 4,211,344,248,336/945,702
  6. Step 6: Final answer
    x = 4,453,140.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.