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Finding the Third Proportional to 1,460,297.50 and 3,195,881

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Solution

The third proportional to 1,460,297.50 and 3,195,881 is: 6,994,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,297.50 : 3,195,881 = 3,195,881 : x
  2. Step 2: Convert to fraction form
    1,460,297.50/3,195,881 = 3,195,881/x
  3. Step 3: Cross multiply
    1,460,297.50x = 3,195,881 × 3,195,881
  4. Step 4: Simplify right side
    1,460,297.50x = 10,213,655,366,161
  5. Step 5: Solve for x
    x = 10,213,655,366,161/1,460,297.50
  6. Step 6: Final answer
    x = 6,994,229.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.