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Finding the Third Proportional to 763,989 and 1,162,582

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Solution

The third proportional to 763,989 and 1,162,582 is: 1,769,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,989 : 1,162,582 = 1,162,582 : x
  2. Step 2: Convert to fraction form
    763,989/1,162,582 = 1,162,582/x
  3. Step 3: Cross multiply
    763,989x = 1,162,582 × 1,162,582
  4. Step 4: Simplify right side
    763,989x = 1,351,596,906,724
  5. Step 5: Solve for x
    x = 1,351,596,906,724/763,989
  6. Step 6: Final answer
    x = 1,769,131.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.