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Finding the Third Proportional to 2,765,546 and 4,148,391

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Solution

The third proportional to 2,765,546 and 4,148,391 is: 6,222,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,546 : 4,148,391 = 4,148,391 : x
  2. Step 2: Convert to fraction form
    2,765,546/4,148,391 = 4,148,391/x
  3. Step 3: Cross multiply
    2,765,546x = 4,148,391 × 4,148,391
  4. Step 4: Simplify right side
    2,765,546x = 17,209,147,888,881
  5. Step 5: Solve for x
    x = 17,209,147,888,881/2,765,546
  6. Step 6: Final answer
    x = 6,222,694.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.