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Finding the Third Proportional to 2,484,166 and 5,322,464

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Solution

The third proportional to 2,484,166 and 5,322,464 is: 11,403,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484,166 : 5,322,464 = 5,322,464 : x
  2. Step 2: Convert to fraction form
    2,484,166/5,322,464 = 5,322,464/x
  3. Step 3: Cross multiply
    2,484,166x = 5,322,464 × 5,322,464
  4. Step 4: Simplify right side
    2,484,166x = 28,328,623,031,296
  5. Step 5: Solve for x
    x = 28,328,623,031,296/2,484,166
  6. Step 6: Final answer
    x = 11,403,675.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.