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Finding the Third Proportional to 466,361 and 996,712

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Solution

The third proportional to 466,361 and 996,712 is: 2,130,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,361 : 996,712 = 996,712 : x
  2. Step 2: Convert to fraction form
    466,361/996,712 = 996,712/x
  3. Step 3: Cross multiply
    466,361x = 996,712 × 996,712
  4. Step 4: Simplify right side
    466,361x = 993,434,810,944
  5. Step 5: Solve for x
    x = 993,434,810,944/466,361
  6. Step 6: Final answer
    x = 2,130,184.15

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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.