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Finding the Third Proportional to 401,148 and 881,033

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Solution

The third proportional to 401,148 and 881,033 is: 1,934,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,148 : 881,033 = 881,033 : x
  2. Step 2: Convert to fraction form
    401,148/881,033 = 881,033/x
  3. Step 3: Cross multiply
    401,148x = 881,033 × 881,033
  4. Step 4: Simplify right side
    401,148x = 776,219,147,089
  5. Step 5: Solve for x
    x = 776,219,147,089/401,148
  6. Step 6: Final answer
    x = 1,934,994.43

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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.