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Finding the Third Proportional to 1,050,195.38 and 1,584,953.44

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Solution

The third proportional to 1,050,195.38 and 1,584,953.44 is: 2,392,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050,195.38 : 1,584,953.44 = 1,584,953.44 : x
  2. Step 2: Convert to fraction form
    1,050,195.38/1,584,953.44 = 1,584,953.44/x
  3. Step 3: Cross multiply
    1,050,195.38x = 1,584,953.44 × 1,584,953.44
  4. Step 4: Simplify right side
    1,050,195.38x = 2,512,077,399,043.07
  5. Step 5: Solve for x
    x = 2,512,077,399,043.07/1,050,195.38
  6. Step 6: Final answer
    x = 2,392,009.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.