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Finding the Third Proportional to 1,171,600 and 2,538,572

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Solution

The third proportional to 1,171,600 and 2,538,572 is: 5,500,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,600 : 2,538,572 = 2,538,572 : x
  2. Step 2: Convert to fraction form
    1,171,600/2,538,572 = 2,538,572/x
  3. Step 3: Cross multiply
    1,171,600x = 2,538,572 × 2,538,572
  4. Step 4: Simplify right side
    1,171,600x = 6,444,347,799,184
  5. Step 5: Solve for x
    x = 6,444,347,799,184/1,171,600
  6. Step 6: Final answer
    x = 5,500,467.57

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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.