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Finding the Third Proportional to 779,760 and 1,700,448

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Solution

The third proportional to 779,760 and 1,700,448 is: 3,708,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,760 : 1,700,448 = 1,700,448 : x
  2. Step 2: Convert to fraction form
    779,760/1,700,448 = 1,700,448/x
  3. Step 3: Cross multiply
    779,760x = 1,700,448 × 1,700,448
  4. Step 4: Simplify right side
    779,760x = 2,891,523,400,704
  5. Step 5: Solve for x
    x = 2,891,523,400,704/779,760
  6. Step 6: Final answer
    x = 3,708,222.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.