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Finding the Third Proportional to 733,281 and 1,533,531

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Solution

The third proportional to 733,281 and 1,533,531 is: 3,207,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,281 : 1,533,531 = 1,533,531 : x
  2. Step 2: Convert to fraction form
    733,281/1,533,531 = 1,533,531/x
  3. Step 3: Cross multiply
    733,281x = 1,533,531 × 1,533,531
  4. Step 4: Simplify right side
    733,281x = 2,351,717,327,961
  5. Step 5: Solve for x
    x = 2,351,717,327,961/733,281
  6. Step 6: Final answer
    x = 3,207,116.14

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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.