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Finding the Third Proportional to 747,975 and 1,636,161

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Solution

The third proportional to 747,975 and 1,636,161 is: 3,579,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,975 : 1,636,161 = 1,636,161 : x
  2. Step 2: Convert to fraction form
    747,975/1,636,161 = 1,636,161/x
  3. Step 3: Cross multiply
    747,975x = 1,636,161 × 1,636,161
  4. Step 4: Simplify right side
    747,975x = 2,677,022,817,921
  5. Step 5: Solve for x
    x = 2,677,022,817,921/747,975
  6. Step 6: Final answer
    x = 3,579,027.13

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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.