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Finding the Third Proportional to 1,914,855.19 and 2,964,854.39

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Solution

The third proportional to 1,914,855.19 and 2,964,854.39 is: 4,590,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,855.19 : 2,964,854.39 = 2,964,854.39 : x
  2. Step 2: Convert to fraction form
    1,914,855.19/2,964,854.39 = 2,964,854.39/x
  3. Step 3: Cross multiply
    1,914,855.19x = 2,964,854.39 × 2,964,854.39
  4. Step 4: Simplify right side
    1,914,855.19x = 8,790,361,557,608.34
  5. Step 5: Solve for x
    x = 8,790,361,557,608.34/1,914,855.19
  6. Step 6: Final answer
    x = 4,590,614.27

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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.