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Finding the Third Proportional to 473,924 and 1,043,908

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Solution

The third proportional to 473,924 and 1,043,908 is: 2,299,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,924 : 1,043,908 = 1,043,908 : x
  2. Step 2: Convert to fraction form
    473,924/1,043,908 = 1,043,908/x
  3. Step 3: Cross multiply
    473,924x = 1,043,908 × 1,043,908
  4. Step 4: Simplify right side
    473,924x = 1,089,743,912,464
  5. Step 5: Solve for x
    x = 1,089,743,912,464/473,924
  6. Step 6: Final answer
    x = 2,299,406.47

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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.