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Finding the Third Proportional to 2,119,026 and 4,641,142

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Solution

The third proportional to 2,119,026 and 4,641,142 is: 10,165,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119,026 : 4,641,142 = 4,641,142 : x
  2. Step 2: Convert to fraction form
    2,119,026/4,641,142 = 4,641,142/x
  3. Step 3: Cross multiply
    2,119,026x = 4,641,142 × 4,641,142
  4. Step 4: Simplify right side
    2,119,026x = 21,540,199,064,164
  5. Step 5: Solve for x
    x = 21,540,199,064,164/2,119,026
  6. Step 6: Final answer
    x = 10,165,141.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.