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Finding the Third Proportional to 787,822 and 1,147,285

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Solution

The third proportional to 787,822 and 1,147,285 is: 1,670,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,822 : 1,147,285 = 1,147,285 : x
  2. Step 2: Convert to fraction form
    787,822/1,147,285 = 1,147,285/x
  3. Step 3: Cross multiply
    787,822x = 1,147,285 × 1,147,285
  4. Step 4: Simplify right side
    787,822x = 1,316,262,871,225
  5. Step 5: Solve for x
    x = 1,316,262,871,225/787,822
  6. Step 6: Final answer
    x = 1,670,761.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.