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Finding the Third Proportional to 473,922 and 1,043,904

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Solution

The third proportional to 473,922 and 1,043,904 is: 2,299,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,922 : 1,043,904 = 1,043,904 : x
  2. Step 2: Convert to fraction form
    473,922/1,043,904 = 1,043,904/x
  3. Step 3: Cross multiply
    473,922x = 1,043,904 × 1,043,904
  4. Step 4: Simplify right side
    473,922x = 1,089,735,561,216
  5. Step 5: Solve for x
    x = 1,089,735,561,216/473,922
  6. Step 6: Final answer
    x = 2,299,398.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.