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Finding the Third Proportional to 466,684 and 999,464

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Solution

The third proportional to 466,684 and 999,464 is: 2,140,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,684 : 999,464 = 999,464 : x
  2. Step 2: Convert to fraction form
    466,684/999,464 = 999,464/x
  3. Step 3: Cross multiply
    466,684x = 999,464 × 999,464
  4. Step 4: Simplify right side
    466,684x = 998,928,287,296
  5. Step 5: Solve for x
    x = 998,928,287,296/466,684
  6. Step 6: Final answer
    x = 2,140,481.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.