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Finding the Third Proportional to 532,717 and 1,170,409

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Solution

The third proportional to 532,717 and 1,170,409 is: 2,571,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,717 : 1,170,409 = 1,170,409 : x
  2. Step 2: Convert to fraction form
    532,717/1,170,409 = 1,170,409/x
  3. Step 3: Cross multiply
    532,717x = 1,170,409 × 1,170,409
  4. Step 4: Simplify right side
    532,717x = 1,369,857,227,281
  5. Step 5: Solve for x
    x = 1,369,857,227,281/532,717
  6. Step 6: Final answer
    x = 2,571,453.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.