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Finding the Third Proportional to 729,724 and 1,596,893

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Solution

The third proportional to 729,724 and 1,596,893 is: 3,494,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,724 : 1,596,893 = 1,596,893 : x
  2. Step 2: Convert to fraction form
    729,724/1,596,893 = 1,596,893/x
  3. Step 3: Cross multiply
    729,724x = 1,596,893 × 1,596,893
  4. Step 4: Simplify right side
    729,724x = 2,550,067,253,449
  5. Step 5: Solve for x
    x = 2,550,067,253,449/729,724
  6. Step 6: Final answer
    x = 3,494,564.05

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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.