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Finding the Third Proportional to 896,496 and 1,942,320

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Solution

The third proportional to 896,496 and 1,942,320 is: 4,208,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,496 : 1,942,320 = 1,942,320 : x
  2. Step 2: Convert to fraction form
    896,496/1,942,320 = 1,942,320/x
  3. Step 3: Cross multiply
    896,496x = 1,942,320 × 1,942,320
  4. Step 4: Simplify right side
    896,496x = 3,772,606,982,400
  5. Step 5: Solve for x
    x = 3,772,606,982,400/896,496
  6. Step 6: Final answer
    x = 4,208,169.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.