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Finding the Third Proportional to 1,096,133,214 and 1,583,723,202

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Solution

The third proportional to 1,096,133,214 and 1,583,723,202 is: 2,288,206,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,133,214 : 1,583,723,202 = 1,583,723,202 : x
  2. Step 2: Convert to fraction form
    1,096,133,214/1,583,723,202 = 1,583,723,202/x
  3. Step 3: Cross multiply
    1,096,133,214x = 1,583,723,202 × 1,583,723,202
  4. Step 4: Simplify right side
    1,096,133,214x = 2,508,179,180,553,133,056
  5. Step 5: Solve for x
    x = 2,508,179,180,553,133,056/1,096,133,214
  6. Step 6: Final answer
    x = 2,288,206,532.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.