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Finding the Third Proportional to 585,086,850 and 1,218,601,170

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Solution

The third proportional to 585,086,850 and 1,218,601,170 is: 2,538,065,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,086,850 : 1,218,601,170 = 1,218,601,170 : x
  2. Step 2: Convert to fraction form
    585,086,850/1,218,601,170 = 1,218,601,170/x
  3. Step 3: Cross multiply
    585,086,850x = 1,218,601,170 × 1,218,601,170
  4. Step 4: Simplify right side
    585,086,850x = 1,484,988,811,525,368,832
  5. Step 5: Solve for x
    x = 1,484,988,811,525,368,832/585,086,850
  6. Step 6: Final answer
    x = 2,538,065,607.74

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.