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Finding the Third Proportional to 2,128,014 and 2,986,026

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Solution

The third proportional to 2,128,014 and 2,986,026 is: 4,189,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,014 : 2,986,026 = 2,986,026 : x
  2. Step 2: Convert to fraction form
    2,128,014/2,986,026 = 2,986,026/x
  3. Step 3: Cross multiply
    2,128,014x = 2,986,026 × 2,986,026
  4. Step 4: Simplify right side
    2,128,014x = 8,916,351,272,676
  5. Step 5: Solve for x
    x = 8,916,351,272,676/2,128,014
  6. Step 6: Final answer
    x = 4,189,987.13

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.