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Finding the Third Proportional to 241,279,963 and 520,823,646

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Solution

The third proportional to 241,279,963 and 520,823,646 is: 1,124,242,837.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,279,963 : 520,823,646 = 520,823,646 : x
  2. Step 2: Convert to fraction form
    241,279,963/520,823,646 = 520,823,646/x
  3. Step 3: Cross multiply
    241,279,963x = 520,823,646 × 520,823,646
  4. Step 4: Simplify right side
    241,279,963x = 271,257,270,232,733,312
  5. Step 5: Solve for x
    x = 271,257,270,232,733,312/241,279,963
  6. Step 6: Final answer
    x = 1,124,242,837.49

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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.