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Finding the Third Proportional to 2,977,406 and 6,458,910

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Solution

The third proportional to 2,977,406 and 6,458,910 is: 14,011,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977,406 : 6,458,910 = 6,458,910 : x
  2. Step 2: Convert to fraction form
    2,977,406/6,458,910 = 6,458,910/x
  3. Step 3: Cross multiply
    2,977,406x = 6,458,910 × 6,458,910
  4. Step 4: Simplify right side
    2,977,406x = 41,717,518,388,100
  5. Step 5: Solve for x
    x = 41,717,518,388,100/2,977,406
  6. Step 6: Final answer
    x = 14,011,363.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.