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Finding the Third Proportional to 2,141,780 and 3,141,138

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Solution

The third proportional to 2,141,780 and 3,141,138 is: 4,606,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,780 : 3,141,138 = 3,141,138 : x
  2. Step 2: Convert to fraction form
    2,141,780/3,141,138 = 3,141,138/x
  3. Step 3: Cross multiply
    2,141,780x = 3,141,138 × 3,141,138
  4. Step 4: Simplify right side
    2,141,780x = 9,866,747,935,044
  5. Step 5: Solve for x
    x = 9,866,747,935,044/2,141,780
  6. Step 6: Final answer
    x = 4,606,798.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.