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Finding the Third Proportional to 771,678.56 and 1,661,880.19

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Solution

The third proportional to 771,678.56 and 1,661,880.19 is: 3,579,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,678.56 : 1,661,880.19 = 1,661,880.19 : x
  2. Step 2: Convert to fraction form
    771,678.56/1,661,880.19 = 1,661,880.19/x
  3. Step 3: Cross multiply
    771,678.56x = 1,661,880.19 × 1,661,880.19
  4. Step 4: Simplify right side
    771,678.56x = 2,761,845,757,605.04
  5. Step 5: Solve for x
    x = 2,761,845,757,605.04/771,678.56
  6. Step 6: Final answer
    x = 3,579,010.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.