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Finding the Third Proportional to 1,713,532.50 and 3,647,124

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Solution

The third proportional to 1,713,532.50 and 3,647,124 is: 7,762,626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713,532.50 : 3,647,124 = 3,647,124 : x
  2. Step 2: Convert to fraction form
    1,713,532.50/3,647,124 = 3,647,124/x
  3. Step 3: Cross multiply
    1,713,532.50x = 3,647,124 × 3,647,124
  4. Step 4: Simplify right side
    1,713,532.50x = 13,301,513,471,376
  5. Step 5: Solve for x
    x = 13,301,513,471,376/1,713,532.50
  6. Step 6: Final answer
    x = 7,762,626.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.