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Finding the Third Proportional to 968,697 and 1,329,762

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Solution

The third proportional to 968,697 and 1,329,762 is: 1,825,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,697 : 1,329,762 = 1,329,762 : x
  2. Step 2: Convert to fraction form
    968,697/1,329,762 = 1,329,762/x
  3. Step 3: Cross multiply
    968,697x = 1,329,762 × 1,329,762
  4. Step 4: Simplify right side
    968,697x = 1,768,266,976,644
  5. Step 5: Solve for x
    x = 1,768,266,976,644/968,697
  6. Step 6: Final answer
    x = 1,825,407.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.