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Finding the Third Proportional to 849,864 and 1,826,034

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Solution

The third proportional to 849,864 and 1,826,034 is: 3,923,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,864 : 1,826,034 = 1,826,034 : x
  2. Step 2: Convert to fraction form
    849,864/1,826,034 = 1,826,034/x
  3. Step 3: Cross multiply
    849,864x = 1,826,034 × 1,826,034
  4. Step 4: Simplify right side
    849,864x = 3,334,400,169,156
  5. Step 5: Solve for x
    x = 3,334,400,169,156/849,864
  6. Step 6: Final answer
    x = 3,923,451.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.