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Finding the Third Proportional to 696,812 and 1,526,408

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Solution

The third proportional to 696,812 and 1,526,408 is: 3,343,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,812 : 1,526,408 = 1,526,408 : x
  2. Step 2: Convert to fraction form
    696,812/1,526,408 = 1,526,408/x
  3. Step 3: Cross multiply
    696,812x = 1,526,408 × 1,526,408
  4. Step 4: Simplify right side
    696,812x = 2,329,921,382,464
  5. Step 5: Solve for x
    x = 2,329,921,382,464/696,812
  6. Step 6: Final answer
    x = 3,343,687.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.