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Finding the Third Proportional to 766,437 and 1,582,074

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Solution

The third proportional to 766,437 and 1,582,074 is: 3,265,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,437 : 1,582,074 = 1,582,074 : x
  2. Step 2: Convert to fraction form
    766,437/1,582,074 = 1,582,074/x
  3. Step 3: Cross multiply
    766,437x = 1,582,074 × 1,582,074
  4. Step 4: Simplify right side
    766,437x = 2,502,958,141,476
  5. Step 5: Solve for x
    x = 2,502,958,141,476/766,437
  6. Step 6: Final answer
    x = 3,265,706.30

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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.