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Finding the Third Proportional to 2,184,437 and 4,788,777

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Solution

The third proportional to 2,184,437 and 4,788,777 is: 10,498,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,437 : 4,788,777 = 4,788,777 : x
  2. Step 2: Convert to fraction form
    2,184,437/4,788,777 = 4,788,777/x
  3. Step 3: Cross multiply
    2,184,437x = 4,788,777 × 4,788,777
  4. Step 4: Simplify right side
    2,184,437x = 22,932,385,155,729
  5. Step 5: Solve for x
    x = 22,932,385,155,729/2,184,437
  6. Step 6: Final answer
    x = 10,498,075.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.