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Finding the Third Proportional to 296,538,006 and 617,620,286

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Solution

The third proportional to 296,538,006 and 617,620,286 is: 1,286,360,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,538,006 : 617,620,286 = 617,620,286 : x
  2. Step 2: Convert to fraction form
    296,538,006/617,620,286 = 617,620,286/x
  3. Step 3: Cross multiply
    296,538,006x = 617,620,286 × 617,620,286
  4. Step 4: Simplify right side
    296,538,006x = 381,454,817,678,721,792
  5. Step 5: Solve for x
    x = 381,454,817,678,721,792/296,538,006
  6. Step 6: Final answer
    x = 1,286,360,634.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.