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Finding the Third Proportional to 442,928 and 968,288

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Solution

The third proportional to 442,928 and 968,288 is: 2,116,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,928 : 968,288 = 968,288 : x
  2. Step 2: Convert to fraction form
    442,928/968,288 = 968,288/x
  3. Step 3: Cross multiply
    442,928x = 968,288 × 968,288
  4. Step 4: Simplify right side
    442,928x = 937,581,650,944
  5. Step 5: Solve for x
    x = 937,581,650,944/442,928
  6. Step 6: Final answer
    x = 2,116,781.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.