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Finding the Third Proportional to 1,294,751 and 1,960,122

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Solution

The third proportional to 1,294,751 and 1,960,122 is: 2,967,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,751 : 1,960,122 = 1,960,122 : x
  2. Step 2: Convert to fraction form
    1,294,751/1,960,122 = 1,960,122/x
  3. Step 3: Cross multiply
    1,294,751x = 1,960,122 × 1,960,122
  4. Step 4: Simplify right side
    1,294,751x = 3,842,078,254,884
  5. Step 5: Solve for x
    x = 3,842,078,254,884/1,294,751
  6. Step 6: Final answer
    x = 2,967,426.37

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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.