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Finding the Third Proportional to 466,614 and 999,320

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Solution

The third proportional to 466,614 and 999,320 is: 2,140,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,614 : 999,320 = 999,320 : x
  2. Step 2: Convert to fraction form
    466,614/999,320 = 999,320/x
  3. Step 3: Cross multiply
    466,614x = 999,320 × 999,320
  4. Step 4: Simplify right side
    466,614x = 998,640,462,400
  5. Step 5: Solve for x
    x = 998,640,462,400/466,614
  6. Step 6: Final answer
    x = 2,140,185.38

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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.