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Finding the Third Proportional to 262,366,182 and 574,156,620

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Solution

The third proportional to 262,366,182 and 574,156,620 is: 1,256,472,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,366,182 : 574,156,620 = 574,156,620 : x
  2. Step 2: Convert to fraction form
    262,366,182/574,156,620 = 574,156,620/x
  3. Step 3: Cross multiply
    262,366,182x = 574,156,620 × 574,156,620
  4. Step 4: Simplify right side
    262,366,182x = 329,655,824,289,824,384
  5. Step 5: Solve for x
    x = 329,655,824,289,824,384/262,366,182
  6. Step 6: Final answer
    x = 1,256,472,239.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.