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Finding the Third Proportional to 1,915,142.44 and 2,845,582.27

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Solution

The third proportional to 1,915,142.44 and 2,845,582.27 is: 4,228,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915,142.44 : 2,845,582.27 = 2,845,582.27 : x
  2. Step 2: Convert to fraction form
    1,915,142.44/2,845,582.27 = 2,845,582.27/x
  3. Step 3: Cross multiply
    1,915,142.44x = 2,845,582.27 × 2,845,582.27
  4. Step 4: Simplify right side
    1,915,142.44x = 8,097,338,434,607.72
  5. Step 5: Solve for x
    x = 8,097,338,434,607.72/1,915,142.44
  6. Step 6: Final answer
    x = 4,228,060.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.