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Finding the Third Proportional to 826,496 and 1,264,224

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Solution

The third proportional to 826,496 and 1,264,224 is: 1,933,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,496 : 1,264,224 = 1,264,224 : x
  2. Step 2: Convert to fraction form
    826,496/1,264,224 = 1,264,224/x
  3. Step 3: Cross multiply
    826,496x = 1,264,224 × 1,264,224
  4. Step 4: Simplify right side
    826,496x = 1,598,262,322,176
  5. Step 5: Solve for x
    x = 1,598,262,322,176/826,496
  6. Step 6: Final answer
    x = 1,933,781.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.