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Finding the Third Proportional to 2,165,792 and 3,185,904

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Solution

The third proportional to 2,165,792 and 3,185,904 is: 4,686,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165,792 : 3,185,904 = 3,185,904 : x
  2. Step 2: Convert to fraction form
    2,165,792/3,185,904 = 3,185,904/x
  3. Step 3: Cross multiply
    2,165,792x = 3,185,904 × 3,185,904
  4. Step 4: Simplify right side
    2,165,792x = 10,149,984,297,216
  5. Step 5: Solve for x
    x = 10,149,984,297,216/2,165,792
  6. Step 6: Final answer
    x = 4,686,500.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.