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Finding the Third Proportional to 392,691 and 848,046

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Solution

The third proportional to 392,691 and 848,046 is: 1,831,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,691 : 848,046 = 848,046 : x
  2. Step 2: Convert to fraction form
    392,691/848,046 = 848,046/x
  3. Step 3: Cross multiply
    392,691x = 848,046 × 848,046
  4. Step 4: Simplify right side
    392,691x = 719,182,018,116
  5. Step 5: Solve for x
    x = 719,182,018,116/392,691
  6. Step 6: Final answer
    x = 1,831,419.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.