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Finding the Third Proportional to 588,894,995 and 1,238,711,062

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Solution

The third proportional to 588,894,995 and 1,238,711,062 is: 2,605,566,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,894,995 : 1,238,711,062 = 1,238,711,062 : x
  2. Step 2: Convert to fraction form
    588,894,995/1,238,711,062 = 1,238,711,062/x
  3. Step 3: Cross multiply
    588,894,995x = 1,238,711,062 × 1,238,711,062
  4. Step 4: Simplify right side
    588,894,995x = 1,534,405,095,121,167,872
  5. Step 5: Solve for x
    x = 1,534,405,095,121,167,872/588,894,995
  6. Step 6: Final answer
    x = 2,605,566,540.98

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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.