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Finding the Third Proportional to 690,314 and 1,483,092

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Solution

The third proportional to 690,314 and 1,483,092 is: 3,186,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,314 : 1,483,092 = 1,483,092 : x
  2. Step 2: Convert to fraction form
    690,314/1,483,092 = 1,483,092/x
  3. Step 3: Cross multiply
    690,314x = 1,483,092 × 1,483,092
  4. Step 4: Simplify right side
    690,314x = 2,199,561,880,464
  5. Step 5: Solve for x
    x = 2,199,561,880,464/690,314
  6. Step 6: Final answer
    x = 3,186,320.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.