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Finding the Third Proportional to 588,897,532 and 1,238,715,848

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Solution

The third proportional to 588,897,532 and 1,238,715,848 is: 2,605,575,450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,897,532 : 1,238,715,848 = 1,238,715,848 : x
  2. Step 2: Convert to fraction form
    588,897,532/1,238,715,848 = 1,238,715,848/x
  3. Step 3: Cross multiply
    588,897,532x = 1,238,715,848 × 1,238,715,848
  4. Step 4: Simplify right side
    588,897,532x = 1,534,416,952,086,359,040
  5. Step 5: Solve for x
    x = 1,534,416,952,086,359,040/588,897,532
  6. Step 6: Final answer
    x = 2,605,575,450.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.