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Finding the Third Proportional to 2,664,828 and 5,784,516

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Solution

The third proportional to 2,664,828 and 5,784,516 is: 12,556,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664,828 : 5,784,516 = 5,784,516 : x
  2. Step 2: Convert to fraction form
    2,664,828/5,784,516 = 5,784,516/x
  3. Step 3: Cross multiply
    2,664,828x = 5,784,516 × 5,784,516
  4. Step 4: Simplify right side
    2,664,828x = 33,460,625,354,256
  5. Step 5: Solve for x
    x = 33,460,625,354,256/2,664,828
  6. Step 6: Final answer
    x = 12,556,392.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.