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Finding the Third Proportional to 609,228,900 and 928,127,856

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Solution

The third proportional to 609,228,900 and 928,127,856 is: 1,413,953,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,228,900 : 928,127,856 = 928,127,856 : x
  2. Step 2: Convert to fraction form
    609,228,900/928,127,856 = 928,127,856/x
  3. Step 3: Cross multiply
    609,228,900x = 928,127,856 × 928,127,856
  4. Step 4: Simplify right side
    609,228,900x = 861,421,317,083,156,736
  5. Step 5: Solve for x
    x = 861,421,317,083,156,736/609,228,900
  6. Step 6: Final answer
    x = 1,413,953,469.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.