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Finding the Third Proportional to 596,662 and 903,659

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Solution

The third proportional to 596,662 and 903,659 is: 1,368,613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,662 : 903,659 = 903,659 : x
  2. Step 2: Convert to fraction form
    596,662/903,659 = 903,659/x
  3. Step 3: Cross multiply
    596,662x = 903,659 × 903,659
  4. Step 4: Simplify right side
    596,662x = 816,599,588,281
  5. Step 5: Solve for x
    x = 816,599,588,281/596,662
  6. Step 6: Final answer
    x = 1,368,613.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.