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Finding the Third Proportional to 2,777,946.75 and 4,174,316.44

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Solution

The third proportional to 2,777,946.75 and 4,174,316.44 is: 6,272,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777,946.75 : 4,174,316.44 = 4,174,316.44 : x
  2. Step 2: Convert to fraction form
    2,777,946.75/4,174,316.44 = 4,174,316.44/x
  3. Step 3: Cross multiply
    2,777,946.75x = 4,174,316.44 × 4,174,316.44
  4. Step 4: Simplify right side
    2,777,946.75x = 17,424,917,720,382.69
  5. Step 5: Solve for x
    x = 17,424,917,720,382.69/2,777,946.75
  6. Step 6: Final answer
    x = 6,272,588.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.