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Finding the Third Proportional to 968,716.13 and 2,111,815.13

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Solution

The third proportional to 968,716.13 and 2,111,815.13 is: 4,603,787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,716.13 : 2,111,815.13 = 2,111,815.13 : x
  2. Step 2: Convert to fraction form
    968,716.13/2,111,815.13 = 2,111,815.13/x
  3. Step 3: Cross multiply
    968,716.13x = 2,111,815.13 × 2,111,815.13
  4. Step 4: Simplify right side
    968,716.13x = 4,459,763,122,178.77
  5. Step 5: Solve for x
    x = 4,459,763,122,178.77/968,716.13
  6. Step 6: Final answer
    x = 4,603,787.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.