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Finding the Third Proportional to 2,407,774 and 5,014,840

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Solution

The third proportional to 2,407,774 and 5,014,840 is: 10,444,759.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,774 : 5,014,840 = 5,014,840 : x
  2. Step 2: Convert to fraction form
    2,407,774/5,014,840 = 5,014,840/x
  3. Step 3: Cross multiply
    2,407,774x = 5,014,840 × 5,014,840
  4. Step 4: Simplify right side
    2,407,774x = 25,148,620,225,600
  5. Step 5: Solve for x
    x = 25,148,620,225,600/2,407,774
  6. Step 6: Final answer
    x = 10,444,759.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.