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Finding the Third Proportional to 285,509,322 and 625,422,456

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Solution

The third proportional to 285,509,322 and 625,422,456 is: 1,370,019,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,509,322 : 625,422,456 = 625,422,456 : x
  2. Step 2: Convert to fraction form
    285,509,322/625,422,456 = 625,422,456/x
  3. Step 3: Cross multiply
    285,509,322x = 625,422,456 × 625,422,456
  4. Step 4: Simplify right side
    285,509,322x = 391,153,248,469,071,936
  5. Step 5: Solve for x
    x = 391,153,248,469,071,936/285,509,322
  6. Step 6: Final answer
    x = 1,370,019,184.41

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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.