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Finding the Third Proportional to 429,816 and 1,011,036

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Solution

The third proportional to 429,816 and 1,011,036 is: 2,378,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,816 : 1,011,036 = 1,011,036 : x
  2. Step 2: Convert to fraction form
    429,816/1,011,036 = 1,011,036/x
  3. Step 3: Cross multiply
    429,816x = 1,011,036 × 1,011,036
  4. Step 4: Simplify right side
    429,816x = 1,022,193,793,296
  5. Step 5: Solve for x
    x = 1,022,193,793,296/429,816
  6. Step 6: Final answer
    x = 2,378,212.52

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.