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Finding the Third Proportional to 1,477,755 and 3,183,475

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Solution

The third proportional to 1,477,755 and 3,183,475 is: 6,858,046.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,755 : 3,183,475 = 3,183,475 : x
  2. Step 2: Convert to fraction form
    1,477,755/3,183,475 = 3,183,475/x
  3. Step 3: Cross multiply
    1,477,755x = 3,183,475 × 3,183,475
  4. Step 4: Simplify right side
    1,477,755x = 10,134,513,075,625
  5. Step 5: Solve for x
    x = 10,134,513,075,625/1,477,755
  6. Step 6: Final answer
    x = 6,858,046.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.