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Finding the Third Proportional to 685,934.63 and 1,477,222.88

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Solution

The third proportional to 685,934.63 and 1,477,222.88 is: 3,181,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,934.63 : 1,477,222.88 = 1,477,222.88 : x
  2. Step 2: Convert to fraction form
    685,934.63/1,477,222.88 = 1,477,222.88/x
  3. Step 3: Cross multiply
    685,934.63x = 1,477,222.88 × 1,477,222.88
  4. Step 4: Simplify right side
    685,934.63x = 2,182,187,422,423.27
  5. Step 5: Solve for x
    x = 2,182,187,422,423.27/685,934.63
  6. Step 6: Final answer
    x = 3,181,334.41

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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.