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Finding the Third Proportional to 963,078 and 2,086,648

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Solution

The third proportional to 963,078 and 2,086,648 is: 4,521,025.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,078 : 2,086,648 = 2,086,648 : x
  2. Step 2: Convert to fraction form
    963,078/2,086,648 = 2,086,648/x
  3. Step 3: Cross multiply
    963,078x = 2,086,648 × 2,086,648
  4. Step 4: Simplify right side
    963,078x = 4,354,099,875,904
  5. Step 5: Solve for x
    x = 4,354,099,875,904/963,078
  6. Step 6: Final answer
    x = 4,521,025.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.