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Finding the Third Proportional to 763,357 and 1,036,717

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Solution

The third proportional to 763,357 and 1,036,717 is: 1,407,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,357 : 1,036,717 = 1,036,717 : x
  2. Step 2: Convert to fraction form
    763,357/1,036,717 = 1,036,717/x
  3. Step 3: Cross multiply
    763,357x = 1,036,717 × 1,036,717
  4. Step 4: Simplify right side
    763,357x = 1,074,782,138,089
  5. Step 5: Solve for x
    x = 1,074,782,138,089/763,357
  6. Step 6: Final answer
    x = 1,407,967.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.