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Finding the Third Proportional to 428,514 and 941,091

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Solution

The third proportional to 428,514 and 941,091 is: 2,066,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,514 : 941,091 = 941,091 : x
  2. Step 2: Convert to fraction form
    428,514/941,091 = 941,091/x
  3. Step 3: Cross multiply
    428,514x = 941,091 × 941,091
  4. Step 4: Simplify right side
    428,514x = 885,652,270,281
  5. Step 5: Solve for x
    x = 885,652,270,281/428,514
  6. Step 6: Final answer
    x = 2,066,798.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.