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Finding the Third Proportional to 1,745,520.75 and 3,700,954.13

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Solution

The third proportional to 1,745,520.75 and 3,700,954.13 is: 7,846,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,520.75 : 3,700,954.13 = 3,700,954.13 : x
  2. Step 2: Convert to fraction form
    1,745,520.75/3,700,954.13 = 3,700,954.13/x
  3. Step 3: Cross multiply
    1,745,520.75x = 3,700,954.13 × 3,700,954.13
  4. Step 4: Simplify right side
    1,745,520.75x = 13,697,061,435,354.52
  5. Step 5: Solve for x
    x = 13,697,061,435,354.52/1,745,520.75
  6. Step 6: Final answer
    x = 7,846,977.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.