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Finding the Third Proportional to 796,033 and 1,748,446

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Solution

The third proportional to 796,033 and 1,748,446 is: 3,840,372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,033 : 1,748,446 = 1,748,446 : x
  2. Step 2: Convert to fraction form
    796,033/1,748,446 = 1,748,446/x
  3. Step 3: Cross multiply
    796,033x = 1,748,446 × 1,748,446
  4. Step 4: Simplify right side
    796,033x = 3,057,063,414,916
  5. Step 5: Solve for x
    x = 3,057,063,414,916/796,033
  6. Step 6: Final answer
    x = 3,840,372.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.