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Finding the Third Proportional to 2,497,592 and 5,893,916

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Solution

The third proportional to 2,497,592 and 5,893,916 is: 13,908,695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497,592 : 5,893,916 = 5,893,916 : x
  2. Step 2: Convert to fraction form
    2,497,592/5,893,916 = 5,893,916/x
  3. Step 3: Cross multiply
    2,497,592x = 5,893,916 × 5,893,916
  4. Step 4: Simplify right side
    2,497,592x = 34,738,245,815,056
  5. Step 5: Solve for x
    x = 34,738,245,815,056/2,497,592
  6. Step 6: Final answer
    x = 13,908,695.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.