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Finding the Third Proportional to 834,007.50 and 1,697,517

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Solution

The third proportional to 834,007.50 and 1,697,517 is: 3,455,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,007.50 : 1,697,517 = 1,697,517 : x
  2. Step 2: Convert to fraction form
    834,007.50/1,697,517 = 1,697,517/x
  3. Step 3: Cross multiply
    834,007.50x = 1,697,517 × 1,697,517
  4. Step 4: Simplify right side
    834,007.50x = 2,881,563,965,289
  5. Step 5: Solve for x
    x = 2,881,563,965,289/834,007.50
  6. Step 6: Final answer
    x = 3,455,081.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.