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Finding the Third Proportional to 2,423,439 and 5,097,582

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Solution

The third proportional to 2,423,439 and 5,097,582 is: 10,722,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423,439 : 5,097,582 = 5,097,582 : x
  2. Step 2: Convert to fraction form
    2,423,439/5,097,582 = 5,097,582/x
  3. Step 3: Cross multiply
    2,423,439x = 5,097,582 × 5,097,582
  4. Step 4: Simplify right side
    2,423,439x = 25,985,342,246,724
  5. Step 5: Solve for x
    x = 25,985,342,246,724/2,423,439
  6. Step 6: Final answer
    x = 10,722,507.25

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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.