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Finding the Third Proportional to 834,433 and 1,713,100

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Solution

The third proportional to 834,433 and 1,713,100 is: 3,517,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,433 : 1,713,100 = 1,713,100 : x
  2. Step 2: Convert to fraction form
    834,433/1,713,100 = 1,713,100/x
  3. Step 3: Cross multiply
    834,433x = 1,713,100 × 1,713,100
  4. Step 4: Simplify right side
    834,433x = 2,934,711,610,000
  5. Step 5: Solve for x
    x = 2,934,711,610,000/834,433
  6. Step 6: Final answer
    x = 3,517,012.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.