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Finding the Third Proportional to 588,897,534 and 1,238,715,852

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Solution

The third proportional to 588,897,534 and 1,238,715,852 is: 2,605,575,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,897,534 : 1,238,715,852 = 1,238,715,852 : x
  2. Step 2: Convert to fraction form
    588,897,534/1,238,715,852 = 1,238,715,852/x
  3. Step 3: Cross multiply
    588,897,534x = 1,238,715,852 × 1,238,715,852
  4. Step 4: Simplify right side
    588,897,534x = 1,534,416,961,996,086,016
  5. Step 5: Solve for x
    x = 1,534,416,961,996,086,016/588,897,534
  6. Step 6: Final answer
    x = 2,605,575,458.22

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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.