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Finding the Third Proportional to 1,910,739.38 and 2,932,448.06

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Solution

The third proportional to 1,910,739.38 and 2,932,448.06 is: 4,500,483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910,739.38 : 2,932,448.06 = 2,932,448.06 : x
  2. Step 2: Convert to fraction form
    1,910,739.38/2,932,448.06 = 2,932,448.06/x
  3. Step 3: Cross multiply
    1,910,739.38x = 2,932,448.06 × 2,932,448.06
  4. Step 4: Simplify right side
    1,910,739.38x = 8,599,251,639,260.00
  5. Step 5: Solve for x
    x = 8,599,251,639,260.00/1,910,739.38
  6. Step 6: Final answer
    x = 4,500,483.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.