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Finding the Third Proportional to 2,184,442 and 4,788,789

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Solution

The third proportional to 2,184,442 and 4,788,789 is: 10,498,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,442 : 4,788,789 = 4,788,789 : x
  2. Step 2: Convert to fraction form
    2,184,442/4,788,789 = 4,788,789/x
  3. Step 3: Cross multiply
    2,184,442x = 4,788,789 × 4,788,789
  4. Step 4: Simplify right side
    2,184,442x = 22,932,500,086,521
  5. Step 5: Solve for x
    x = 22,932,500,086,521/2,184,442
  6. Step 6: Final answer
    x = 10,498,104.36

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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.