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Finding the Third Proportional to 733,168 and 1,533,371

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Solution

The third proportional to 733,168 and 1,533,371 is: 3,206,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,168 : 1,533,371 = 1,533,371 : x
  2. Step 2: Convert to fraction form
    733,168/1,533,371 = 1,533,371/x
  3. Step 3: Cross multiply
    733,168x = 1,533,371 × 1,533,371
  4. Step 4: Simplify right side
    733,168x = 2,351,226,623,641
  5. Step 5: Solve for x
    x = 2,351,226,623,641/733,168
  6. Step 6: Final answer
    x = 3,206,941.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.