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Finding the Third Proportional to 307,988,274 and 684,837,870

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Solution

The third proportional to 307,988,274 and 684,837,870 is: 1,522,794,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,988,274 : 684,837,870 = 684,837,870 : x
  2. Step 2: Convert to fraction form
    307,988,274/684,837,870 = 684,837,870/x
  3. Step 3: Cross multiply
    307,988,274x = 684,837,870 × 684,837,870
  4. Step 4: Simplify right side
    307,988,274x = 469,002,908,186,136,896
  5. Step 5: Solve for x
    x = 469,002,908,186,136,896/307,988,274
  6. Step 6: Final answer
    x = 1,522,794,689.86

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.