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Finding the Third Proportional to 480,980 and 1,045,126

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Solution

The third proportional to 480,980 and 1,045,126 is: 2,270,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,980 : 1,045,126 = 1,045,126 : x
  2. Step 2: Convert to fraction form
    480,980/1,045,126 = 1,045,126/x
  3. Step 3: Cross multiply
    480,980x = 1,045,126 × 1,045,126
  4. Step 4: Simplify right side
    480,980x = 1,092,288,355,876
  5. Step 5: Solve for x
    x = 1,092,288,355,876/480,980
  6. Step 6: Final answer
    x = 2,270,964.19

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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.