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Finding the Third Proportional to 428,944 and 928,496

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Solution

The third proportional to 428,944 and 928,496 is: 2,009,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,944 : 928,496 = 928,496 : x
  2. Step 2: Convert to fraction form
    428,944/928,496 = 928,496/x
  3. Step 3: Cross multiply
    428,944x = 928,496 × 928,496
  4. Step 4: Simplify right side
    428,944x = 862,104,822,016
  5. Step 5: Solve for x
    x = 862,104,822,016/428,944
  6. Step 6: Final answer
    x = 2,009,830.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.