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Finding the Third Proportional to 547,613 and 1,198,459

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Solution

The third proportional to 547,613 and 1,198,459 is: 2,622,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,613 : 1,198,459 = 1,198,459 : x
  2. Step 2: Convert to fraction form
    547,613/1,198,459 = 1,198,459/x
  3. Step 3: Cross multiply
    547,613x = 1,198,459 × 1,198,459
  4. Step 4: Simplify right side
    547,613x = 1,436,303,974,681
  5. Step 5: Solve for x
    x = 1,436,303,974,681/547,613
  6. Step 6: Final answer
    x = 2,622,844.92

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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.