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Finding the Third Proportional to 2,081,830 and 3,105,478

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Solution

The third proportional to 2,081,830 and 3,105,478 is: 4,632,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,830 : 3,105,478 = 3,105,478 : x
  2. Step 2: Convert to fraction form
    2,081,830/3,105,478 = 3,105,478/x
  3. Step 3: Cross multiply
    2,081,830x = 3,105,478 × 3,105,478
  4. Step 4: Simplify right side
    2,081,830x = 9,643,993,608,484
  5. Step 5: Solve for x
    x = 9,643,993,608,484/2,081,830
  6. Step 6: Final answer
    x = 4,632,459.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.