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Finding the Third Proportional to 1,243,264 and 1,857,224

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Solution

The third proportional to 1,243,264 and 1,857,224 is: 2,774,375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,264 : 1,857,224 = 1,857,224 : x
  2. Step 2: Convert to fraction form
    1,243,264/1,857,224 = 1,857,224/x
  3. Step 3: Cross multiply
    1,243,264x = 1,857,224 × 1,857,224
  4. Step 4: Simplify right side
    1,243,264x = 3,449,280,986,176
  5. Step 5: Solve for x
    x = 3,449,280,986,176/1,243,264
  6. Step 6: Final answer
    x = 2,774,375.34

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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.