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Finding the Third Proportional to 463,584 and 996,492

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Solution

The third proportional to 463,584 and 996,492 is: 2,141,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,584 : 996,492 = 996,492 : x
  2. Step 2: Convert to fraction form
    463,584/996,492 = 996,492/x
  3. Step 3: Cross multiply
    463,584x = 996,492 × 996,492
  4. Step 4: Simplify right side
    463,584x = 992,996,306,064
  5. Step 5: Solve for x
    x = 992,996,306,064/463,584
  6. Step 6: Final answer
    x = 2,141,998.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.