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Finding the Third Proportional to 776,474 and 1,646,260

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Solution

The third proportional to 776,474 and 1,646,260 is: 3,490,357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,474 : 1,646,260 = 1,646,260 : x
  2. Step 2: Convert to fraction form
    776,474/1,646,260 = 1,646,260/x
  3. Step 3: Cross multiply
    776,474x = 1,646,260 × 1,646,260
  4. Step 4: Simplify right side
    776,474x = 2,710,171,987,600
  5. Step 5: Solve for x
    x = 2,710,171,987,600/776,474
  6. Step 6: Final answer
    x = 3,490,357.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.