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Finding the Third Proportional to 474,298,104 and 1,027,758,264

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Solution

The third proportional to 474,298,104 and 1,027,758,264 is: 2,227,053,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,298,104 : 1,027,758,264 = 1,027,758,264 : x
  2. Step 2: Convert to fraction form
    474,298,104/1,027,758,264 = 1,027,758,264/x
  3. Step 3: Cross multiply
    474,298,104x = 1,027,758,264 × 1,027,758,264
  4. Step 4: Simplify right side
    474,298,104x = 1,056,287,049,220,293,632
  5. Step 5: Solve for x
    x = 1,056,287,049,220,293,632/474,298,104
  6. Step 6: Final answer
    x = 2,227,053,071.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.