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Finding the Third Proportional to 927,741 and 2,012,916

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Solution

The third proportional to 927,741 and 2,012,916 is: 4,367,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,741 : 2,012,916 = 2,012,916 : x
  2. Step 2: Convert to fraction form
    927,741/2,012,916 = 2,012,916/x
  3. Step 3: Cross multiply
    927,741x = 2,012,916 × 2,012,916
  4. Step 4: Simplify right side
    927,741x = 4,051,830,823,056
  5. Step 5: Solve for x
    x = 4,051,830,823,056/927,741
  6. Step 6: Final answer
    x = 4,367,415.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.