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Finding the Third Proportional to 733,278 and 1,533,525

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Solution

The third proportional to 733,278 and 1,533,525 is: 3,207,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,278 : 1,533,525 = 1,533,525 : x
  2. Step 2: Convert to fraction form
    733,278/1,533,525 = 1,533,525/x
  3. Step 3: Cross multiply
    733,278x = 1,533,525 × 1,533,525
  4. Step 4: Simplify right side
    733,278x = 2,351,698,925,625
  5. Step 5: Solve for x
    x = 2,351,698,925,625/733,278
  6. Step 6: Final answer
    x = 3,207,104.16

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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.