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Finding the Third Proportional to 480,098 and 1,044,868

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Solution

The third proportional to 480,098 and 1,044,868 is: 2,274,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,098 : 1,044,868 = 1,044,868 : x
  2. Step 2: Convert to fraction form
    480,098/1,044,868 = 1,044,868/x
  3. Step 3: Cross multiply
    480,098x = 1,044,868 × 1,044,868
  4. Step 4: Simplify right side
    480,098x = 1,091,749,137,424
  5. Step 5: Solve for x
    x = 1,091,749,137,424/480,098
  6. Step 6: Final answer
    x = 2,274,013.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.