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Finding the Third Proportional to 729,722.24 and 1,596,889.09

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Solution

The third proportional to 729,722.24 and 1,596,889.09 is: 3,494,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,722.24 : 1,596,889.09 = 1,596,889.09 : x
  2. Step 2: Convert to fraction form
    729,722.24/1,596,889.09 = 1,596,889.09/x
  3. Step 3: Cross multiply
    729,722.24x = 1,596,889.09 × 1,596,889.09
  4. Step 4: Simplify right side
    729,722.24x = 2,550,054,779,296.90
  5. Step 5: Solve for x
    x = 2,550,054,779,296.90/729,722.24
  6. Step 6: Final answer
    x = 3,494,555.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.