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Finding the Third Proportional to 1,320,515.16 and 2,782,889.16

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Solution

The third proportional to 1,320,515.16 and 2,782,889.16 is: 5,864,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320,515.16 : 2,782,889.16 = 2,782,889.16 : x
  2. Step 2: Convert to fraction form
    1,320,515.16/2,782,889.16 = 2,782,889.16/x
  3. Step 3: Cross multiply
    1,320,515.16x = 2,782,889.16 × 2,782,889.16
  4. Step 4: Simplify right side
    1,320,515.16x = 7,744,472,055,973.84
  5. Step 5: Solve for x
    x = 7,744,472,055,973.84/1,320,515.16
  6. Step 6: Final answer
    x = 5,864,735.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.