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Finding the Third Proportional to 1,954,357.88 and 2,819,417.63

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Solution

The third proportional to 1,954,357.88 and 2,819,417.63 is: 4,067,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,357.88 : 2,819,417.63 = 2,819,417.63 : x
  2. Step 2: Convert to fraction form
    1,954,357.88/2,819,417.63 = 2,819,417.63/x
  3. Step 3: Cross multiply
    1,954,357.88x = 2,819,417.63 × 2,819,417.63
  4. Step 4: Simplify right side
    1,954,357.88x = 7,949,115,744,160.64
  5. Step 5: Solve for x
    x = 7,949,115,744,160.64/1,954,357.88
  6. Step 6: Final answer
    x = 4,067,379.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.