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Finding the Third Proportional to 480,870 and 1,044,684

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Solution

The third proportional to 480,870 and 1,044,684 is: 2,269,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,870 : 1,044,684 = 1,044,684 : x
  2. Step 2: Convert to fraction form
    480,870/1,044,684 = 1,044,684/x
  3. Step 3: Cross multiply
    480,870x = 1,044,684 × 1,044,684
  4. Step 4: Simplify right side
    480,870x = 1,091,364,659,856
  5. Step 5: Solve for x
    x = 1,091,364,659,856/480,870
  6. Step 6: Final answer
    x = 2,269,562.79

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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.