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Finding the Third Proportional to 274,790,448 and 592,626,400

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Solution

The third proportional to 274,790,448 and 592,626,400 is: 1,278,086,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,790,448 : 592,626,400 = 592,626,400 : x
  2. Step 2: Convert to fraction form
    274,790,448/592,626,400 = 592,626,400/x
  3. Step 3: Cross multiply
    274,790,448x = 592,626,400 × 592,626,400
  4. Step 4: Simplify right side
    274,790,448x = 351,206,049,976,960,000
  5. Step 5: Solve for x
    x = 351,206,049,976,960,000/274,790,448
  6. Step 6: Final answer
    x = 1,278,086,820.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.