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Finding the Third Proportional to 1,161,762 and 2,516,526

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Solution

The third proportional to 1,161,762 and 2,516,526 is: 5,451,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,762 : 2,516,526 = 2,516,526 : x
  2. Step 2: Convert to fraction form
    1,161,762/2,516,526 = 2,516,526/x
  3. Step 3: Cross multiply
    1,161,762x = 2,516,526 × 2,516,526
  4. Step 4: Simplify right side
    1,161,762x = 6,332,903,108,676
  5. Step 5: Solve for x
    x = 6,332,903,108,676/1,161,762
  6. Step 6: Final answer
    x = 5,451,119.17

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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.