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Finding the Third Proportional to 1,232,516 and 2,691,859

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Solution

The third proportional to 1,232,516 and 2,691,859 is: 5,879,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,516 : 2,691,859 = 2,691,859 : x
  2. Step 2: Convert to fraction form
    1,232,516/2,691,859 = 2,691,859/x
  3. Step 3: Cross multiply
    1,232,516x = 2,691,859 × 2,691,859
  4. Step 4: Simplify right side
    1,232,516x = 7,246,104,875,881
  5. Step 5: Solve for x
    x = 7,246,104,875,881/1,232,516
  6. Step 6: Final answer
    x = 5,879,116.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.