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Finding the Third Proportional to 776,814.75 and 1,661,562

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Solution

The third proportional to 776,814.75 and 1,661,562 is: 3,553,985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,814.75 : 1,661,562 = 1,661,562 : x
  2. Step 2: Convert to fraction form
    776,814.75/1,661,562 = 1,661,562/x
  3. Step 3: Cross multiply
    776,814.75x = 1,661,562 × 1,661,562
  4. Step 4: Simplify right side
    776,814.75x = 2,760,788,279,844
  5. Step 5: Solve for x
    x = 2,760,788,279,844/776,814.75
  6. Step 6: Final answer
    x = 3,553,985.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.