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Finding the Third Proportional to 412,921.13 and 909,657

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Solution

The third proportional to 412,921.13 and 909,657 is: 2,003,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,921.13 : 909,657 = 909,657 : x
  2. Step 2: Convert to fraction form
    412,921.13/909,657 = 909,657/x
  3. Step 3: Cross multiply
    412,921.13x = 909,657 × 909,657
  4. Step 4: Simplify right side
    412,921.13x = 827,475,857,649
  5. Step 5: Solve for x
    x = 827,475,857,649/412,921.13
  6. Step 6: Final answer
    x = 2,003,956.22

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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.