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Finding the Third Proportional to 401,152 and 881,039

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Solution

The third proportional to 401,152 and 881,039 is: 1,935,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,152 : 881,039 = 881,039 : x
  2. Step 2: Convert to fraction form
    401,152/881,039 = 881,039/x
  3. Step 3: Cross multiply
    401,152x = 881,039 × 881,039
  4. Step 4: Simplify right side
    401,152x = 776,229,719,521
  5. Step 5: Solve for x
    x = 776,229,719,521/401,152
  6. Step 6: Final answer
    x = 1,935,001.49

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Why These Related Problems?

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