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Finding the Third Proportional to 1,738,357.50 and 2,643,102

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Solution

The third proportional to 1,738,357.50 and 2,643,102 is: 4,018,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,357.50 : 2,643,102 = 2,643,102 : x
  2. Step 2: Convert to fraction form
    1,738,357.50/2,643,102 = 2,643,102/x
  3. Step 3: Cross multiply
    1,738,357.50x = 2,643,102 × 2,643,102
  4. Step 4: Simplify right side
    1,738,357.50x = 6,985,988,182,404
  5. Step 5: Solve for x
    x = 6,985,988,182,404/1,738,357.50
  6. Step 6: Final answer
    x = 4,018,729.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.