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Finding the Third Proportional to 428,886 and 916,670

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Solution

The third proportional to 428,886 and 916,670 is: 1,959,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,886 : 916,670 = 916,670 : x
  2. Step 2: Convert to fraction form
    428,886/916,670 = 916,670/x
  3. Step 3: Cross multiply
    428,886x = 916,670 × 916,670
  4. Step 4: Simplify right side
    428,886x = 840,283,888,900
  5. Step 5: Solve for x
    x = 840,283,888,900/428,886
  6. Step 6: Final answer
    x = 1,959,224.34

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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.