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Finding the Third Proportional to 2,983,751.44 and 4,561,261.88

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Solution

The third proportional to 2,983,751.44 and 4,561,261.88 is: 6,972,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983,751.44 : 4,561,261.88 = 4,561,261.88 : x
  2. Step 2: Convert to fraction form
    2,983,751.44/4,561,261.88 = 4,561,261.88/x
  3. Step 3: Cross multiply
    2,983,751.44x = 4,561,261.88 × 4,561,261.88
  4. Step 4: Simplify right side
    2,983,751.44x = 20,805,109,892,328.52
  5. Step 5: Solve for x
    x = 20,805,109,892,328.52/2,983,751.44
  6. Step 6: Final answer
    x = 6,972,802.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.