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Finding the Third Proportional to 428,646 and 916,344

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Solution

The third proportional to 428,646 and 916,344 is: 1,958,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,646 : 916,344 = 916,344 : x
  2. Step 2: Convert to fraction form
    428,646/916,344 = 916,344/x
  3. Step 3: Cross multiply
    428,646x = 916,344 × 916,344
  4. Step 4: Simplify right side
    428,646x = 839,686,326,336
  5. Step 5: Solve for x
    x = 839,686,326,336/428,646
  6. Step 6: Final answer
    x = 1,958,927.24

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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.