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Finding the Third Proportional to 846,593 and 1,128,624

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Solution

The third proportional to 846,593 and 1,128,624 is: 1,504,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,593 : 1,128,624 = 1,128,624 : x
  2. Step 2: Convert to fraction form
    846,593/1,128,624 = 1,128,624/x
  3. Step 3: Cross multiply
    846,593x = 1,128,624 × 1,128,624
  4. Step 4: Simplify right side
    846,593x = 1,273,792,133,376
  5. Step 5: Solve for x
    x = 1,273,792,133,376/846,593
  6. Step 6: Final answer
    x = 1,504,609.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.