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Finding the Third Proportional to 484,914 and 1,053,765

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Solution

The third proportional to 484,914 and 1,053,765 is: 2,289,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,914 : 1,053,765 = 1,053,765 : x
  2. Step 2: Convert to fraction form
    484,914/1,053,765 = 1,053,765/x
  3. Step 3: Cross multiply
    484,914x = 1,053,765 × 1,053,765
  4. Step 4: Simplify right side
    484,914x = 1,110,420,675,225
  5. Step 5: Solve for x
    x = 1,110,420,675,225/484,914
  6. Step 6: Final answer
    x = 2,289,933.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.