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Finding the Third Proportional to 1,950,454.13 and 2,588,043.38

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Solution

The third proportional to 1,950,454.13 and 2,588,043.38 is: 3,434,055.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950,454.13 : 2,588,043.38 = 2,588,043.38 : x
  2. Step 2: Convert to fraction form
    1,950,454.13/2,588,043.38 = 2,588,043.38/x
  3. Step 3: Cross multiply
    1,950,454.13x = 2,588,043.38 × 2,588,043.38
  4. Step 4: Simplify right side
    1,950,454.13x = 6,697,968,510,881.39
  5. Step 5: Solve for x
    x = 6,697,968,510,881.39/1,950,454.13
  6. Step 6: Final answer
    x = 3,434,055.91

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.