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Finding the Third Proportional to 2,065,188 and 2,903,106

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Solution

The third proportional to 2,065,188 and 2,903,106 is: 4,080,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,188 : 2,903,106 = 2,903,106 : x
  2. Step 2: Convert to fraction form
    2,065,188/2,903,106 = 2,903,106/x
  3. Step 3: Cross multiply
    2,065,188x = 2,903,106 × 2,903,106
  4. Step 4: Simplify right side
    2,065,188x = 8,428,024,447,236
  5. Step 5: Solve for x
    x = 8,428,024,447,236/2,065,188
  6. Step 6: Final answer
    x = 4,080,996.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.