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Finding the Third Proportional to 458,821,514 and 701,398,699

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Solution

The third proportional to 458,821,514 and 701,398,699 is: 1,072,225,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,821,514 : 701,398,699 = 701,398,699 : x
  2. Step 2: Convert to fraction form
    458,821,514/701,398,699 = 701,398,699/x
  3. Step 3: Cross multiply
    458,821,514x = 701,398,699 × 701,398,699
  4. Step 4: Simplify right side
    458,821,514x = 491,960,134,958,892,608
  5. Step 5: Solve for x
    x = 491,960,134,958,892,608/458,821,514
  6. Step 6: Final answer
    x = 1,072,225,516.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.