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Finding the Third Proportional to 787,858 and 1,181,498

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Solution

The third proportional to 787,858 and 1,181,498 is: 1,771,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,858 : 1,181,498 = 1,181,498 : x
  2. Step 2: Convert to fraction form
    787,858/1,181,498 = 1,181,498/x
  3. Step 3: Cross multiply
    787,858x = 1,181,498 × 1,181,498
  4. Step 4: Simplify right side
    787,858x = 1,395,937,524,004
  5. Step 5: Solve for x
    x = 1,395,937,524,004/787,858
  6. Step 6: Final answer
    x = 1,771,813.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.