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Finding the Third Proportional to 1,002,037.50 and 2,102,544

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Solution

The third proportional to 1,002,037.50 and 2,102,544 is: 4,411,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,037.50 : 2,102,544 = 2,102,544 : x
  2. Step 2: Convert to fraction form
    1,002,037.50/2,102,544 = 2,102,544/x
  3. Step 3: Cross multiply
    1,002,037.50x = 2,102,544 × 2,102,544
  4. Step 4: Simplify right side
    1,002,037.50x = 4,420,691,271,936
  5. Step 5: Solve for x
    x = 4,420,691,271,936/1,002,037.50
  6. Step 6: Final answer
    x = 4,411,702.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.