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Finding the Third Proportional to 649,361 and 884,617

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Solution

The third proportional to 649,361 and 884,617 is: 1,205,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,361 : 884,617 = 884,617 : x
  2. Step 2: Convert to fraction form
    649,361/884,617 = 884,617/x
  3. Step 3: Cross multiply
    649,361x = 884,617 × 884,617
  4. Step 4: Simplify right side
    649,361x = 782,547,236,689
  5. Step 5: Solve for x
    x = 782,547,236,689/649,361
  6. Step 6: Final answer
    x = 1,205,103.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.