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Finding the Third Proportional to 791,076 and 1,638,192

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Solution

The third proportional to 791,076 and 1,638,192 is: 3,392,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,076 : 1,638,192 = 1,638,192 : x
  2. Step 2: Convert to fraction form
    791,076/1,638,192 = 1,638,192/x
  3. Step 3: Cross multiply
    791,076x = 1,638,192 × 1,638,192
  4. Step 4: Simplify right side
    791,076x = 2,683,673,028,864
  5. Step 5: Solve for x
    x = 2,683,673,028,864/791,076
  6. Step 6: Final answer
    x = 3,392,433.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.