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Finding the Third Proportional to 474,037 and 880,822

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Solution

The third proportional to 474,037 and 880,822 is: 1,636,681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,037 : 880,822 = 880,822 : x
  2. Step 2: Convert to fraction form
    474,037/880,822 = 880,822/x
  3. Step 3: Cross multiply
    474,037x = 880,822 × 880,822
  4. Step 4: Simplify right side
    474,037x = 775,847,395,684
  5. Step 5: Solve for x
    x = 775,847,395,684/474,037
  6. Step 6: Final answer
    x = 1,636,681.09

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.