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Finding the Third Proportional to 1,914,281.86 and 2,965,537.83

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Solution

The third proportional to 1,914,281.86 and 2,965,537.83 is: 4,594,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,281.86 : 2,965,537.83 = 2,965,537.83 : x
  2. Step 2: Convert to fraction form
    1,914,281.86/2,965,537.83 = 2,965,537.83/x
  3. Step 3: Cross multiply
    1,914,281.86x = 2,965,537.83 × 2,965,537.83
  4. Step 4: Simplify right side
    1,914,281.86x = 8,794,414,610,040.34
  5. Step 5: Solve for x
    x = 8,794,414,610,040.34/1,914,281.86
  6. Step 6: Final answer
    x = 4,594,106.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.