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Finding the Third Proportional to 1,328,366 and 2,051,265

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Solution

The third proportional to 1,328,366 and 2,051,265 is: 3,167,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,366 : 2,051,265 = 2,051,265 : x
  2. Step 2: Convert to fraction form
    1,328,366/2,051,265 = 2,051,265/x
  3. Step 3: Cross multiply
    1,328,366x = 2,051,265 × 2,051,265
  4. Step 4: Simplify right side
    1,328,366x = 4,207,688,100,225
  5. Step 5: Solve for x
    x = 4,207,688,100,225/1,328,366
  6. Step 6: Final answer
    x = 3,167,566.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.