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Finding the Third Proportional to 996,912 and 1,566,792

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Solution

The third proportional to 996,912 and 1,566,792 is: 2,462,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,912 : 1,566,792 = 1,566,792 : x
  2. Step 2: Convert to fraction form
    996,912/1,566,792 = 1,566,792/x
  3. Step 3: Cross multiply
    996,912x = 1,566,792 × 1,566,792
  4. Step 4: Simplify right side
    996,912x = 2,454,837,171,264
  5. Step 5: Solve for x
    x = 2,454,837,171,264/996,912
  6. Step 6: Final answer
    x = 2,462,441.19

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.