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Finding the Third Proportional to 914,024 and 1,335,720

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Solution

The third proportional to 914,024 and 1,335,720 is: 1,951,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,024 : 1,335,720 = 1,335,720 : x
  2. Step 2: Convert to fraction form
    914,024/1,335,720 = 1,335,720/x
  3. Step 3: Cross multiply
    914,024x = 1,335,720 × 1,335,720
  4. Step 4: Simplify right side
    914,024x = 1,784,147,918,400
  5. Step 5: Solve for x
    x = 1,784,147,918,400/914,024
  6. Step 6: Final answer
    x = 1,951,970.54

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.