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Finding the Third Proportional to 2,678,541 and 4,041,963

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Solution

The third proportional to 2,678,541 and 4,041,963 is: 6,099,389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678,541 : 4,041,963 = 4,041,963 : x
  2. Step 2: Convert to fraction form
    2,678,541/4,041,963 = 4,041,963/x
  3. Step 3: Cross multiply
    2,678,541x = 4,041,963 × 4,041,963
  4. Step 4: Simplify right side
    2,678,541x = 16,337,464,893,369
  5. Step 5: Solve for x
    x = 16,337,464,893,369/2,678,541
  6. Step 6: Final answer
    x = 6,099,389.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.