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Finding the Third Proportional to 2,978,906 and 6,430,120

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Solution

The third proportional to 2,978,906 and 6,430,120 is: 13,879,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978,906 : 6,430,120 = 6,430,120 : x
  2. Step 2: Convert to fraction form
    2,978,906/6,430,120 = 6,430,120/x
  3. Step 3: Cross multiply
    2,978,906x = 6,430,120 × 6,430,120
  4. Step 4: Simplify right side
    2,978,906x = 41,346,443,214,400
  5. Step 5: Solve for x
    x = 41,346,443,214,400/2,978,906
  6. Step 6: Final answer
    x = 13,879,740.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.