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Finding the Third Proportional to 1,297,834.50 and 2,795,352

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Solution

The third proportional to 1,297,834.50 and 2,795,352 is: 6,020,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,834.50 : 2,795,352 = 2,795,352 : x
  2. Step 2: Convert to fraction form
    1,297,834.50/2,795,352 = 2,795,352/x
  3. Step 3: Cross multiply
    1,297,834.50x = 2,795,352 × 2,795,352
  4. Step 4: Simplify right side
    1,297,834.50x = 7,813,992,803,904
  5. Step 5: Solve for x
    x = 7,813,992,803,904/1,297,834.50
  6. Step 6: Final answer
    x = 6,020,792.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.