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Finding the Third Proportional to 896,974 and 1,349,241

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Solution

The third proportional to 896,974 and 1,349,241 is: 2,029,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,974 : 1,349,241 = 1,349,241 : x
  2. Step 2: Convert to fraction form
    896,974/1,349,241 = 1,349,241/x
  3. Step 3: Cross multiply
    896,974x = 1,349,241 × 1,349,241
  4. Step 4: Simplify right side
    896,974x = 1,820,451,276,081
  5. Step 5: Solve for x
    x = 1,820,451,276,081/896,974
  6. Step 6: Final answer
    x = 2,029,547.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.