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Finding the Third Proportional to 1,077,834 and 2,354,032

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Solution

The third proportional to 1,077,834 and 2,354,032 is: 5,141,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,834 : 2,354,032 = 2,354,032 : x
  2. Step 2: Convert to fraction form
    1,077,834/2,354,032 = 2,354,032/x
  3. Step 3: Cross multiply
    1,077,834x = 2,354,032 × 2,354,032
  4. Step 4: Simplify right side
    1,077,834x = 5,541,466,657,024
  5. Step 5: Solve for x
    x = 5,541,466,657,024/1,077,834
  6. Step 6: Final answer
    x = 5,141,298.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.