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Finding the Third Proportional to 401,160 and 881,048

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Solution

The third proportional to 401,160 and 881,048 is: 1,935,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,160 : 881,048 = 881,048 : x
  2. Step 2: Convert to fraction form
    401,160/881,048 = 881,048/x
  3. Step 3: Cross multiply
    401,160x = 881,048 × 881,048
  4. Step 4: Simplify right side
    401,160x = 776,245,578,304
  5. Step 5: Solve for x
    x = 776,245,578,304/401,160
  6. Step 6: Final answer
    x = 1,935,002.44

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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.