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Finding the Third Proportional to 783,669 and 1,600,545

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Solution

The third proportional to 783,669 and 1,600,545 is: 3,268,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,669 : 1,600,545 = 1,600,545 : x
  2. Step 2: Convert to fraction form
    783,669/1,600,545 = 1,600,545/x
  3. Step 3: Cross multiply
    783,669x = 1,600,545 × 1,600,545
  4. Step 4: Simplify right side
    783,669x = 2,561,744,297,025
  5. Step 5: Solve for x
    x = 2,561,744,297,025/783,669
  6. Step 6: Final answer
    x = 3,268,911.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.