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Finding the Third Proportional to 1,299,660.75 and 2,898,154.13

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Solution

The third proportional to 1,299,660.75 and 2,898,154.13 is: 6,462,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,660.75 : 2,898,154.13 = 2,898,154.13 : x
  2. Step 2: Convert to fraction form
    1,299,660.75/2,898,154.13 = 2,898,154.13/x
  3. Step 3: Cross multiply
    1,299,660.75x = 2,898,154.13 × 2,898,154.13
  4. Step 4: Simplify right side
    1,299,660.75x = 8,399,297,332,254.52
  5. Step 5: Solve for x
    x = 8,399,297,332,254.52/1,299,660.75
  6. Step 6: Final answer
    x = 6,462,684.46

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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.