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Finding the Third Proportional to 473,824 and 1,036,212

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Solution

The third proportional to 473,824 and 1,036,212 is: 2,266,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,824 : 1,036,212 = 1,036,212 : x
  2. Step 2: Convert to fraction form
    473,824/1,036,212 = 1,036,212/x
  3. Step 3: Cross multiply
    473,824x = 1,036,212 × 1,036,212
  4. Step 4: Simplify right side
    473,824x = 1,073,735,308,944
  5. Step 5: Solve for x
    x = 1,073,735,308,944/473,824
  6. Step 6: Final answer
    x = 2,266,105.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.