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Finding the Third Proportional to 432,810 and 941,832

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Solution

The third proportional to 432,810 and 941,832 is: 2,049,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,810 : 941,832 = 941,832 : x
  2. Step 2: Convert to fraction form
    432,810/941,832 = 941,832/x
  3. Step 3: Cross multiply
    432,810x = 941,832 × 941,832
  4. Step 4: Simplify right side
    432,810x = 887,047,516,224
  5. Step 5: Solve for x
    x = 887,047,516,224/432,810
  6. Step 6: Final answer
    x = 2,049,507.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.