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Finding the Third Proportional to 2,480,144 and 5,314,582

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Solution

The third proportional to 2,480,144 and 5,314,582 is: 11,388,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480,144 : 5,314,582 = 5,314,582 : x
  2. Step 2: Convert to fraction form
    2,480,144/5,314,582 = 5,314,582/x
  3. Step 3: Cross multiply
    2,480,144x = 5,314,582 × 5,314,582
  4. Step 4: Simplify right side
    2,480,144x = 28,244,781,834,724
  5. Step 5: Solve for x
    x = 28,244,781,834,724/2,480,144
  6. Step 6: Final answer
    x = 11,388,363.67

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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.