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Finding the Third Proportional to 1,028,194 and 1,536,243

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Solution

The third proportional to 1,028,194 and 1,536,243 is: 2,295,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,194 : 1,536,243 = 1,536,243 : x
  2. Step 2: Convert to fraction form
    1,028,194/1,536,243 = 1,536,243/x
  3. Step 3: Cross multiply
    1,028,194x = 1,536,243 × 1,536,243
  4. Step 4: Simplify right side
    1,028,194x = 2,360,042,555,049
  5. Step 5: Solve for x
    x = 2,360,042,555,049/1,028,194
  6. Step 6: Final answer
    x = 2,295,328.08

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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.