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Finding the Third Proportional to 1,299,659.06 and 2,898,150.12

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Solution

The third proportional to 1,299,659.06 and 2,898,150.12 is: 6,462,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,659.06 : 2,898,150.12 = 2,898,150.12 : x
  2. Step 2: Convert to fraction form
    1,299,659.06/2,898,150.12 = 2,898,150.12/x
  3. Step 3: Cross multiply
    1,299,659.06x = 2,898,150.12 × 2,898,150.12
  4. Step 4: Simplify right side
    1,299,659.06x = 8,399,274,101,753.92
  5. Step 5: Solve for x
    x = 8,399,274,101,753.92/1,299,659.06
  6. Step 6: Final answer
    x = 6,462,674.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.