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Finding the Third Proportional to 917,088.75 and 2,011,142.25

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Solution

The third proportional to 917,088.75 and 2,011,142.25 is: 4,410,361.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,088.75 : 2,011,142.25 = 2,011,142.25 : x
  2. Step 2: Convert to fraction form
    917,088.75/2,011,142.25 = 2,011,142.25/x
  3. Step 3: Cross multiply
    917,088.75x = 2,011,142.25 × 2,011,142.25
  4. Step 4: Simplify right side
    917,088.75x = 4,044,693,149,735.06
  5. Step 5: Solve for x
    x = 4,044,693,149,735.06/917,088.75
  6. Step 6: Final answer
    x = 4,410,361.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.