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Finding the Third Proportional to 2,774,138 and 4,352,898

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Solution

The third proportional to 2,774,138 and 4,352,898 is: 6,830,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774,138 : 4,352,898 = 4,352,898 : x
  2. Step 2: Convert to fraction form
    2,774,138/4,352,898 = 4,352,898/x
  3. Step 3: Cross multiply
    2,774,138x = 4,352,898 × 4,352,898
  4. Step 4: Simplify right side
    2,774,138x = 18,947,720,998,404
  5. Step 5: Solve for x
    x = 18,947,720,998,404/2,774,138
  6. Step 6: Final answer
    x = 6,830,129.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.