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Finding the Third Proportional to 484,914 and 1,053,764

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Solution

The third proportional to 484,914 and 1,053,764 is: 2,289,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,914 : 1,053,764 = 1,053,764 : x
  2. Step 2: Convert to fraction form
    484,914/1,053,764 = 1,053,764/x
  3. Step 3: Cross multiply
    484,914x = 1,053,764 × 1,053,764
  4. Step 4: Simplify right side
    484,914x = 1,110,418,567,696
  5. Step 5: Solve for x
    x = 1,110,418,567,696/484,914
  6. Step 6: Final answer
    x = 2,289,928.87

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