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Finding the Third Proportional to 733,912 and 1,033,507

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Solution

The third proportional to 733,912 and 1,033,507 is: 1,455,401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,912 : 1,033,507 = 1,033,507 : x
  2. Step 2: Convert to fraction form
    733,912/1,033,507 = 1,033,507/x
  3. Step 3: Cross multiply
    733,912x = 1,033,507 × 1,033,507
  4. Step 4: Simplify right side
    733,912x = 1,068,136,719,049
  5. Step 5: Solve for x
    x = 1,068,136,719,049/733,912
  6. Step 6: Final answer
    x = 1,455,401.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.