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Finding the Third Proportional to 685,934.25 and 1,477,221.94

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Solution

The third proportional to 685,934.25 and 1,477,221.94 is: 3,181,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,934.25 : 1,477,221.94 = 1,477,221.94 : x
  2. Step 2: Convert to fraction form
    685,934.25/1,477,221.94 = 1,477,221.94/x
  3. Step 3: Cross multiply
    685,934.25x = 1,477,221.94 × 1,477,221.94
  4. Step 4: Simplify right side
    685,934.25x = 2,182,184,652,631.25
  5. Step 5: Solve for x
    x = 2,182,184,652,631.25/685,934.25
  6. Step 6: Final answer
    x = 3,181,332.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.