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Finding the Third Proportional to 729,726 and 1,596,897

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Solution

The third proportional to 729,726 and 1,596,897 is: 3,494,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,726 : 1,596,897 = 1,596,897 : x
  2. Step 2: Convert to fraction form
    729,726/1,596,897 = 1,596,897/x
  3. Step 3: Cross multiply
    729,726x = 1,596,897 × 1,596,897
  4. Step 4: Simplify right side
    729,726x = 2,550,080,028,609
  5. Step 5: Solve for x
    x = 2,550,080,028,609/729,726
  6. Step 6: Final answer
    x = 3,494,571.97

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