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Finding the Third Proportional to 935,679 and 1,410,168

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Solution

The third proportional to 935,679 and 1,410,168 is: 2,125,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,679 : 1,410,168 = 1,410,168 : x
  2. Step 2: Convert to fraction form
    935,679/1,410,168 = 1,410,168/x
  3. Step 3: Cross multiply
    935,679x = 1,410,168 × 1,410,168
  4. Step 4: Simplify right side
    935,679x = 1,988,573,788,224
  5. Step 5: Solve for x
    x = 1,988,573,788,224/935,679
  6. Step 6: Final answer
    x = 2,125,273.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.