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Finding the Third Proportional to 423,634 and 931,226

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Solution

The third proportional to 423,634 and 931,226 is: 2,047,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,634 : 931,226 = 931,226 : x
  2. Step 2: Convert to fraction form
    423,634/931,226 = 931,226/x
  3. Step 3: Cross multiply
    423,634x = 931,226 × 931,226
  4. Step 4: Simplify right side
    423,634x = 867,181,863,076
  5. Step 5: Solve for x
    x = 867,181,863,076/423,634
  6. Step 6: Final answer
    x = 2,047,007.24

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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.