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Finding the Third Proportional to 426,998 and 919,972

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Solution

The third proportional to 426,998 and 919,972 is: 1,982,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,998 : 919,972 = 919,972 : x
  2. Step 2: Convert to fraction form
    426,998/919,972 = 919,972/x
  3. Step 3: Cross multiply
    426,998x = 919,972 × 919,972
  4. Step 4: Simplify right side
    426,998x = 846,348,480,784
  5. Step 5: Solve for x
    x = 846,348,480,784/426,998
  6. Step 6: Final answer
    x = 1,982,090.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.