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Finding the Third Proportional to 428,894 and 916,686

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Solution

The third proportional to 428,894 and 916,686 is: 1,959,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,894 : 916,686 = 916,686 : x
  2. Step 2: Convert to fraction form
    428,894/916,686 = 916,686/x
  3. Step 3: Cross multiply
    428,894x = 916,686 × 916,686
  4. Step 4: Simplify right side
    428,894x = 840,313,222,596
  5. Step 5: Solve for x
    x = 840,313,222,596/428,894
  6. Step 6: Final answer
    x = 1,959,256.19

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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.