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Finding the Third Proportional to 2,691,758.34 and 4,137,427.22

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Solution

The third proportional to 2,691,758.34 and 4,137,427.22 is: 6,359,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691,758.34 : 4,137,427.22 = 4,137,427.22 : x
  2. Step 2: Convert to fraction form
    2,691,758.34/4,137,427.22 = 4,137,427.22/x
  3. Step 3: Cross multiply
    2,691,758.34x = 4,137,427.22 × 4,137,427.22
  4. Step 4: Simplify right side
    2,691,758.34x = 17,118,303,990,453.36
  5. Step 5: Solve for x
    x = 17,118,303,990,453.36/2,691,758.34
  6. Step 6: Final answer
    x = 6,359,524.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.