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Finding the Third Proportional to 456,375 and 941,838

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Solution

The third proportional to 456,375 and 941,838 is: 1,943,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,375 : 941,838 = 941,838 : x
  2. Step 2: Convert to fraction form
    456,375/941,838 = 941,838/x
  3. Step 3: Cross multiply
    456,375x = 941,838 × 941,838
  4. Step 4: Simplify right side
    456,375x = 887,058,818,244
  5. Step 5: Solve for x
    x = 887,058,818,244/456,375
  6. Step 6: Final answer
    x = 1,943,705.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.