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Finding the Third Proportional to 361,619,814 and 784,886,796

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Solution

The third proportional to 361,619,814 and 784,886,796 is: 1,703,577,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,619,814 : 784,886,796 = 784,886,796 : x
  2. Step 2: Convert to fraction form
    361,619,814/784,886,796 = 784,886,796/x
  3. Step 3: Cross multiply
    361,619,814x = 784,886,796 × 784,886,796
  4. Step 4: Simplify right side
    361,619,814x = 616,047,282,535,145,600
  5. Step 5: Solve for x
    x = 616,047,282,535,145,600/361,619,814
  6. Step 6: Final answer
    x = 1,703,577,234.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.