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Finding the Third Proportional to 423,079 and 929,871

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Solution

The third proportional to 423,079 and 929,871 is: 2,043,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,079 : 929,871 = 929,871 : x
  2. Step 2: Convert to fraction form
    423,079/929,871 = 929,871/x
  3. Step 3: Cross multiply
    423,079x = 929,871 × 929,871
  4. Step 4: Simplify right side
    423,079x = 864,660,076,641
  5. Step 5: Solve for x
    x = 864,660,076,641/423,079
  6. Step 6: Final answer
    x = 2,043,731.97

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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.