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Finding the Third Proportional to 685,934.50 and 1,477,222.25

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Solution

The third proportional to 685,934.50 and 1,477,222.25 is: 3,181,332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,934.50 : 1,477,222.25 = 1,477,222.25 : x
  2. Step 2: Convert to fraction form
    685,934.50/1,477,222.25 = 1,477,222.25/x
  3. Step 3: Cross multiply
    685,934.50x = 1,477,222.25 × 1,477,222.25
  4. Step 4: Simplify right side
    685,934.50x = 2,182,185,575,895.06
  5. Step 5: Solve for x
    x = 2,182,185,575,895.06/685,934.50
  6. Step 6: Final answer
    x = 3,181,332.29

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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.