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Finding the Third Proportional to 375,914 and 810,511

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Solution

The third proportional to 375,914 and 810,511 is: 1,747,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,914 : 810,511 = 810,511 : x
  2. Step 2: Convert to fraction form
    375,914/810,511 = 810,511/x
  3. Step 3: Cross multiply
    375,914x = 810,511 × 810,511
  4. Step 4: Simplify right side
    375,914x = 656,928,081,121
  5. Step 5: Solve for x
    x = 656,928,081,121/375,914
  6. Step 6: Final answer
    x = 1,747,548.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.