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Finding the Third Proportional to 968,709.38 and 2,111,801.63

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Solution

The third proportional to 968,709.38 and 2,111,801.63 is: 4,603,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,709.38 : 2,111,801.63 = 2,111,801.63 : x
  2. Step 2: Convert to fraction form
    968,709.38/2,111,801.63 = 2,111,801.63/x
  3. Step 3: Cross multiply
    968,709.38x = 2,111,801.63 × 2,111,801.63
  4. Step 4: Simplify right side
    968,709.38x = 4,459,706,103,352.64
  5. Step 5: Solve for x
    x = 4,459,706,103,352.64/968,709.38
  6. Step 6: Final answer
    x = 4,603,760.65

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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.