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Finding the Third Proportional to 774,689.06 and 1,661,441.63

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Solution

The third proportional to 774,689.06 and 1,661,441.63 is: 3,563,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,689.06 : 1,661,441.63 = 1,661,441.63 : x
  2. Step 2: Convert to fraction form
    774,689.06/1,661,441.63 = 1,661,441.63/x
  3. Step 3: Cross multiply
    774,689.06x = 1,661,441.63 × 1,661,441.63
  4. Step 4: Simplify right side
    774,689.06x = 2,760,388,273,282.64
  5. Step 5: Solve for x
    x = 2,760,388,273,282.64/774,689.06
  6. Step 6: Final answer
    x = 3,563,220.92

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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.