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Finding the Third Proportional to 2,045,102 and 3,110,142

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Solution

The third proportional to 2,045,102 and 3,110,142 is: 4,729,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045,102 : 3,110,142 = 3,110,142 : x
  2. Step 2: Convert to fraction form
    2,045,102/3,110,142 = 3,110,142/x
  3. Step 3: Cross multiply
    2,045,102x = 3,110,142 × 3,110,142
  4. Step 4: Simplify right side
    2,045,102x = 9,672,983,260,164
  5. Step 5: Solve for x
    x = 9,672,983,260,164/2,045,102
  6. Step 6: Final answer
    x = 4,729,829.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.