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Finding the Third Proportional to 833,474 and 1,291,395

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Solution

The third proportional to 833,474 and 1,291,395 is: 2,000,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,474 : 1,291,395 = 1,291,395 : x
  2. Step 2: Convert to fraction form
    833,474/1,291,395 = 1,291,395/x
  3. Step 3: Cross multiply
    833,474x = 1,291,395 × 1,291,395
  4. Step 4: Simplify right side
    833,474x = 1,667,701,046,025
  5. Step 5: Solve for x
    x = 1,667,701,046,025/833,474
  6. Step 6: Final answer
    x = 2,000,903.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.