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Finding the Third Proportional to 1,529,012 and 2,138,574

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Solution

The third proportional to 1,529,012 and 2,138,574 is: 2,991,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529,012 : 2,138,574 = 2,138,574 : x
  2. Step 2: Convert to fraction form
    1,529,012/2,138,574 = 2,138,574/x
  3. Step 3: Cross multiply
    1,529,012x = 2,138,574 × 2,138,574
  4. Step 4: Simplify right side
    1,529,012x = 4,573,498,753,476
  5. Step 5: Solve for x
    x = 4,573,498,753,476/1,529,012
  6. Step 6: Final answer
    x = 2,991,146.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.