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Finding the Third Proportional to 466,496 and 966,184

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Solution

The third proportional to 466,496 and 966,184 is: 2,001,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,496 : 966,184 = 966,184 : x
  2. Step 2: Convert to fraction form
    466,496/966,184 = 966,184/x
  3. Step 3: Cross multiply
    466,496x = 966,184 × 966,184
  4. Step 4: Simplify right side
    466,496x = 933,511,521,856
  5. Step 5: Solve for x
    x = 933,511,521,856/466,496
  6. Step 6: Final answer
    x = 2,001,113.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.