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Finding the Third Proportional to 2,423,443 and 5,097,590

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Solution

The third proportional to 2,423,443 and 5,097,590 is: 10,722,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423,443 : 5,097,590 = 5,097,590 : x
  2. Step 2: Convert to fraction form
    2,423,443/5,097,590 = 5,097,590/x
  3. Step 3: Cross multiply
    2,423,443x = 5,097,590 × 5,097,590
  4. Step 4: Simplify right side
    2,423,443x = 25,985,423,808,100
  5. Step 5: Solve for x
    x = 25,985,423,808,100/2,423,443
  6. Step 6: Final answer
    x = 10,722,523.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.