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Finding the Third Proportional to 766,444 and 1,582,089

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Solution

The third proportional to 766,444 and 1,582,089 is: 3,265,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,444 : 1,582,089 = 1,582,089 : x
  2. Step 2: Convert to fraction form
    766,444/1,582,089 = 1,582,089/x
  3. Step 3: Cross multiply
    766,444x = 1,582,089 × 1,582,089
  4. Step 4: Simplify right side
    766,444x = 2,503,005,603,921
  5. Step 5: Solve for x
    x = 2,503,005,603,921/766,444
  6. Step 6: Final answer
    x = 3,265,738.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.