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Finding the Third Proportional to 421,101.28 and 913,140.84

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Solution

The third proportional to 421,101.28 and 913,140.84 is: 1,980,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,101.28 : 913,140.84 = 913,140.84 : x
  2. Step 2: Convert to fraction form
    421,101.28/913,140.84 = 913,140.84/x
  3. Step 3: Cross multiply
    421,101.28x = 913,140.84 × 913,140.84
  4. Step 4: Simplify right side
    421,101.28x = 833,826,200,524.46
  5. Step 5: Solve for x
    x = 833,826,200,524.46/421,101.28
  6. Step 6: Final answer
    x = 1,980,108.44

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