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Finding the Third Proportional to 961,215 and 2,046,663

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Solution

The third proportional to 961,215 and 2,046,663 is: 4,357,848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,215 : 2,046,663 = 2,046,663 : x
  2. Step 2: Convert to fraction form
    961,215/2,046,663 = 2,046,663/x
  3. Step 3: Cross multiply
    961,215x = 2,046,663 × 2,046,663
  4. Step 4: Simplify right side
    961,215x = 4,188,829,435,569
  5. Step 5: Solve for x
    x = 4,188,829,435,569/961,215
  6. Step 6: Final answer
    x = 4,357,848.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.