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Finding the Third Proportional to 1,348,710.75 and 2,889,786.38

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Solution

The third proportional to 1,348,710.75 and 2,889,786.38 is: 6,191,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,710.75 : 2,889,786.38 = 2,889,786.38 : x
  2. Step 2: Convert to fraction form
    1,348,710.75/2,889,786.38 = 2,889,786.38/x
  3. Step 3: Cross multiply
    1,348,710.75x = 2,889,786.38 × 2,889,786.38
  4. Step 4: Simplify right side
    1,348,710.75x = 8,350,865,293,135.64
  5. Step 5: Solve for x
    x = 8,350,865,293,135.64/1,348,710.75
  6. Step 6: Final answer
    x = 6,191,739.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.