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Finding the Third Proportional to 927,440 and 1,954,496

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Solution

The third proportional to 927,440 and 1,954,496 is: 4,118,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,440 : 1,954,496 = 1,954,496 : x
  2. Step 2: Convert to fraction form
    927,440/1,954,496 = 1,954,496/x
  3. Step 3: Cross multiply
    927,440x = 1,954,496 × 1,954,496
  4. Step 4: Simplify right side
    927,440x = 3,820,054,614,016
  5. Step 5: Solve for x
    x = 3,820,054,614,016/927,440
  6. Step 6: Final answer
    x = 4,118,923.72

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.