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Finding the Third Proportional to 971,189.75 and 2,114,799.75

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Solution

The third proportional to 971,189.75 and 2,114,799.75 is: 4,605,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,189.75 : 2,114,799.75 = 2,114,799.75 : x
  2. Step 2: Convert to fraction form
    971,189.75/2,114,799.75 = 2,114,799.75/x
  3. Step 3: Cross multiply
    971,189.75x = 2,114,799.75 × 2,114,799.75
  4. Step 4: Simplify right side
    971,189.75x = 4,472,377,982,600.06
  5. Step 5: Solve for x
    x = 4,472,377,982,600.06/971,189.75
  6. Step 6: Final answer
    x = 4,605,050.64

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