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Finding the Third Proportional to 881,262 and 1,189,031

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Solution

The third proportional to 881,262 and 1,189,031 is: 1,604,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,262 : 1,189,031 = 1,189,031 : x
  2. Step 2: Convert to fraction form
    881,262/1,189,031 = 1,189,031/x
  3. Step 3: Cross multiply
    881,262x = 1,189,031 × 1,189,031
  4. Step 4: Simplify right side
    881,262x = 1,413,794,718,961
  5. Step 5: Solve for x
    x = 1,413,794,718,961/881,262
  6. Step 6: Final answer
    x = 1,604,284.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.