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Finding the Third Proportional to 428,644 and 916,336

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Solution

The third proportional to 428,644 and 916,336 is: 1,958,902.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,644 : 916,336 = 916,336 : x
  2. Step 2: Convert to fraction form
    428,644/916,336 = 916,336/x
  3. Step 3: Cross multiply
    428,644x = 916,336 × 916,336
  4. Step 4: Simplify right side
    428,644x = 839,671,664,896
  5. Step 5: Solve for x
    x = 839,671,664,896/428,644
  6. Step 6: Final answer
    x = 1,958,902.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.