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Finding the Third Proportional to 412,346 and 868,972

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Solution

The third proportional to 412,346 and 868,972 is: 1,831,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,346 : 868,972 = 868,972 : x
  2. Step 2: Convert to fraction form
    412,346/868,972 = 868,972/x
  3. Step 3: Cross multiply
    412,346x = 868,972 × 868,972
  4. Step 4: Simplify right side
    412,346x = 755,112,336,784
  5. Step 5: Solve for x
    x = 755,112,336,784/412,346
  6. Step 6: Final answer
    x = 1,831,259.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.