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Finding the Third Proportional to 455,878.13 and 992,027.25

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Solution

The third proportional to 455,878.13 and 992,027.25 is: 2,158,730.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,878.13 : 992,027.25 = 992,027.25 : x
  2. Step 2: Convert to fraction form
    455,878.13/992,027.25 = 992,027.25/x
  3. Step 3: Cross multiply
    455,878.13x = 992,027.25 × 992,027.25
  4. Step 4: Simplify right side
    455,878.13x = 984,118,064,742.56
  5. Step 5: Solve for x
    x = 984,118,064,742.56/455,878.13
  6. Step 6: Final answer
    x = 2,158,730.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.