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Finding the Third Proportional to 1,309,600 and 2,018,454

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Solution

The third proportional to 1,309,600 and 2,018,454 is: 3,110,993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,600 : 2,018,454 = 2,018,454 : x
  2. Step 2: Convert to fraction form
    1,309,600/2,018,454 = 2,018,454/x
  3. Step 3: Cross multiply
    1,309,600x = 2,018,454 × 2,018,454
  4. Step 4: Simplify right side
    1,309,600x = 4,074,156,550,116
  5. Step 5: Solve for x
    x = 4,074,156,550,116/1,309,600
  6. Step 6: Final answer
    x = 3,110,993.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.