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Finding the Third Proportional to 834,429 and 1,713,094

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Solution

The third proportional to 834,429 and 1,713,094 is: 3,517,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,429 : 1,713,094 = 1,713,094 : x
  2. Step 2: Convert to fraction form
    834,429/1,713,094 = 1,713,094/x
  3. Step 3: Cross multiply
    834,429x = 1,713,094 × 1,713,094
  4. Step 4: Simplify right side
    834,429x = 2,934,691,052,836
  5. Step 5: Solve for x
    x = 2,934,691,052,836/834,429
  6. Step 6: Final answer
    x = 3,517,005.11

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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.