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Finding the Third Proportional to 608,872 and 946,438

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Solution

The third proportional to 608,872 and 946,438 is: 1,471,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,872 : 946,438 = 946,438 : x
  2. Step 2: Convert to fraction form
    608,872/946,438 = 946,438/x
  3. Step 3: Cross multiply
    608,872x = 946,438 × 946,438
  4. Step 4: Simplify right side
    608,872x = 895,744,887,844
  5. Step 5: Solve for x
    x = 895,744,887,844/608,872
  6. Step 6: Final answer
    x = 1,471,154.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.