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Finding the Third Proportional to 829,715 and 1,239,279

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Solution

The third proportional to 829,715 and 1,239,279 is: 1,851,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,715 : 1,239,279 = 1,239,279 : x
  2. Step 2: Convert to fraction form
    829,715/1,239,279 = 1,239,279/x
  3. Step 3: Cross multiply
    829,715x = 1,239,279 × 1,239,279
  4. Step 4: Simplify right side
    829,715x = 1,535,812,439,841
  5. Step 5: Solve for x
    x = 1,535,812,439,841/829,715
  6. Step 6: Final answer
    x = 1,851,012.02

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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.