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Finding the Third Proportional to 747,515 and 1,632,037

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Solution

The third proportional to 747,515 and 1,632,037 is: 3,563,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,515 : 1,632,037 = 1,632,037 : x
  2. Step 2: Convert to fraction form
    747,515/1,632,037 = 1,632,037/x
  3. Step 3: Cross multiply
    747,515x = 1,632,037 × 1,632,037
  4. Step 4: Simplify right side
    747,515x = 2,663,544,769,369
  5. Step 5: Solve for x
    x = 2,663,544,769,369/747,515
  6. Step 6: Final answer
    x = 3,563,199.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.