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Finding the Third Proportional to 796,528 and 1,261,876

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Solution

The third proportional to 796,528 and 1,261,876 is: 1,999,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,528 : 1,261,876 = 1,261,876 : x
  2. Step 2: Convert to fraction form
    796,528/1,261,876 = 1,261,876/x
  3. Step 3: Cross multiply
    796,528x = 1,261,876 × 1,261,876
  4. Step 4: Simplify right side
    796,528x = 1,592,331,039,376
  5. Step 5: Solve for x
    x = 1,592,331,039,376/796,528
  6. Step 6: Final answer
    x = 1,999,089.85

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.