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Finding the Third Proportional to 469,372 and 996,920

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Solution

The third proportional to 469,372 and 996,920 is: 2,117,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,372 : 996,920 = 996,920 : x
  2. Step 2: Convert to fraction form
    469,372/996,920 = 996,920/x
  3. Step 3: Cross multiply
    469,372x = 996,920 × 996,920
  4. Step 4: Simplify right side
    469,372x = 993,849,486,400
  5. Step 5: Solve for x
    x = 993,849,486,400/469,372
  6. Step 6: Final answer
    x = 2,117,402.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.