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Finding the Third Proportional to 881,304 and 1,189,089

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Solution

The third proportional to 881,304 and 1,189,089 is: 1,604,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,304 : 1,189,089 = 1,189,089 : x
  2. Step 2: Convert to fraction form
    881,304/1,189,089 = 1,189,089/x
  3. Step 3: Cross multiply
    881,304x = 1,189,089 × 1,189,089
  4. Step 4: Simplify right side
    881,304x = 1,413,932,649,921
  5. Step 5: Solve for x
    x = 1,413,932,649,921/881,304
  6. Step 6: Final answer
    x = 1,604,364.27

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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.