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Finding the Third Proportional to 1,647,565.50 and 2,465,376

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Solution

The third proportional to 1,647,565.50 and 2,465,376 is: 3,689,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647,565.50 : 2,465,376 = 2,465,376 : x
  2. Step 2: Convert to fraction form
    1,647,565.50/2,465,376 = 2,465,376/x
  3. Step 3: Cross multiply
    1,647,565.50x = 2,465,376 × 2,465,376
  4. Step 4: Simplify right side
    1,647,565.50x = 6,078,078,821,376
  5. Step 5: Solve for x
    x = 6,078,078,821,376/1,647,565.50
  6. Step 6: Final answer
    x = 3,689,127.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.