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Finding the Third Proportional to 307,979,658 and 684,816,768

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Solution

The third proportional to 307,979,658 and 684,816,768 is: 1,522,743,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,979,658 : 684,816,768 = 684,816,768 : x
  2. Step 2: Convert to fraction form
    307,979,658/684,816,768 = 684,816,768/x
  3. Step 3: Cross multiply
    307,979,658x = 684,816,768 × 684,816,768
  4. Step 4: Simplify right side
    307,979,658x = 468,974,005,733,965,824
  5. Step 5: Solve for x
    x = 468,974,005,733,965,824/307,979,658
  6. Step 6: Final answer
    x = 1,522,743,446.04

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Why These Related Problems?

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