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Finding the Third Proportional to 834,467 and 1,708,605

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Solution

The third proportional to 834,467 and 1,708,605 is: 3,498,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,467 : 1,708,605 = 1,708,605 : x
  2. Step 2: Convert to fraction form
    834,467/1,708,605 = 1,708,605/x
  3. Step 3: Cross multiply
    834,467x = 1,708,605 × 1,708,605
  4. Step 4: Simplify right side
    834,467x = 2,919,331,046,025
  5. Step 5: Solve for x
    x = 2,919,331,046,025/834,467
  6. Step 6: Final answer
    x = 3,498,437.98

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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.