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Finding the Third Proportional to 564,558,742 and 1,175,512,718

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Solution

The third proportional to 564,558,742 and 1,175,512,718 is: 2,447,628,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,558,742 : 1,175,512,718 = 1,175,512,718 : x
  2. Step 2: Convert to fraction form
    564,558,742/1,175,512,718 = 1,175,512,718/x
  3. Step 3: Cross multiply
    564,558,742x = 1,175,512,718 × 1,175,512,718
  4. Step 4: Simplify right side
    564,558,742x = 1,381,830,150,179,747,584
  5. Step 5: Solve for x
    x = 1,381,830,150,179,747,584/564,558,742
  6. Step 6: Final answer
    x = 2,447,628,647.61

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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.