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Finding the Third Proportional to 465,674 and 992,404

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Solution

The third proportional to 465,674 and 992,404 is: 2,114,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,674 : 992,404 = 992,404 : x
  2. Step 2: Convert to fraction form
    465,674/992,404 = 992,404/x
  3. Step 3: Cross multiply
    465,674x = 992,404 × 992,404
  4. Step 4: Simplify right side
    465,674x = 984,865,699,216
  5. Step 5: Solve for x
    x = 984,865,699,216/465,674
  6. Step 6: Final answer
    x = 2,114,925.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.