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Finding the Third Proportional to 3,859,098.19 and 5,291,552.81

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Solution

The third proportional to 3,859,098.19 and 5,291,552.81 is: 7,255,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859,098.19 : 5,291,552.81 = 5,291,552.81 : x
  2. Step 2: Convert to fraction form
    3,859,098.19/5,291,552.81 = 5,291,552.81/x
  3. Step 3: Cross multiply
    3,859,098.19x = 5,291,552.81 × 5,291,552.81
  4. Step 4: Simplify right side
    3,859,098.19x = 28,000,531,167,476.66
  5. Step 5: Solve for x
    x = 28,000,531,167,476.66/3,859,098.19
  6. Step 6: Final answer
    x = 7,255,718.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.