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Finding the Third Proportional to 833,477.25 and 1,291,399.88

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Solution

The third proportional to 833,477.25 and 1,291,399.88 is: 2,000,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,477.25 : 1,291,399.88 = 1,291,399.88 : x
  2. Step 2: Convert to fraction form
    833,477.25/1,291,399.88 = 1,291,399.88/x
  3. Step 3: Cross multiply
    833,477.25x = 1,291,399.88 × 1,291,399.88
  4. Step 4: Simplify right side
    833,477.25x = 1,667,713,637,150.02
  5. Step 5: Solve for x
    x = 1,667,713,637,150.02/833,477.25
  6. Step 6: Final answer
    x = 2,000,910.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.