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Finding the Third Proportional to 682,972 and 1,002,315

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Solution

The third proportional to 682,972 and 1,002,315 is: 1,470,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,972 : 1,002,315 = 1,002,315 : x
  2. Step 2: Convert to fraction form
    682,972/1,002,315 = 1,002,315/x
  3. Step 3: Cross multiply
    682,972x = 1,002,315 × 1,002,315
  4. Step 4: Simplify right side
    682,972x = 1,004,635,359,225
  5. Step 5: Solve for x
    x = 1,004,635,359,225/682,972
  6. Step 6: Final answer
    x = 1,470,975.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.