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Finding the Third Proportional to 1,925,625 and 2,692,007

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Solution

The third proportional to 1,925,625 and 2,692,007 is: 3,763,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925,625 : 2,692,007 = 2,692,007 : x
  2. Step 2: Convert to fraction form
    1,925,625/2,692,007 = 2,692,007/x
  3. Step 3: Cross multiply
    1,925,625x = 2,692,007 × 2,692,007
  4. Step 4: Simplify right side
    1,925,625x = 7,246,901,688,049
  5. Step 5: Solve for x
    x = 7,246,901,688,049/1,925,625
  6. Step 6: Final answer
    x = 3,763,402.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.