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Finding the Third Proportional to 1,261,833.19 and 1,904,317.59

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Solution

The third proportional to 1,261,833.19 and 1,904,317.59 is: 2,873,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,833.19 : 1,904,317.59 = 1,904,317.59 : x
  2. Step 2: Convert to fraction form
    1,261,833.19/1,904,317.59 = 1,904,317.59/x
  3. Step 3: Cross multiply
    1,261,833.19x = 1,904,317.59 × 1,904,317.59
  4. Step 4: Simplify right side
    1,261,833.19x = 3,626,425,497,865.79
  5. Step 5: Solve for x
    x = 3,626,425,497,865.79/1,261,833.19
  6. Step 6: Final answer
    x = 2,873,934.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.