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Finding the Third Proportional to 1,214,162 and 1,781,877

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Solution

The third proportional to 1,214,162 and 1,781,877 is: 2,615,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,162 : 1,781,877 = 1,781,877 : x
  2. Step 2: Convert to fraction form
    1,214,162/1,781,877 = 1,781,877/x
  3. Step 3: Cross multiply
    1,214,162x = 1,781,877 × 1,781,877
  4. Step 4: Simplify right side
    1,214,162x = 3,175,085,643,129
  5. Step 5: Solve for x
    x = 3,175,085,643,129/1,214,162
  6. Step 6: Final answer
    x = 2,615,042.84

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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.