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Finding the Third Proportional to 2,423,442 and 5,097,588

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Solution

The third proportional to 2,423,442 and 5,097,588 is: 10,722,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423,442 : 5,097,588 = 5,097,588 : x
  2. Step 2: Convert to fraction form
    2,423,442/5,097,588 = 5,097,588/x
  3. Step 3: Cross multiply
    2,423,442x = 5,097,588 × 5,097,588
  4. Step 4: Simplify right side
    2,423,442x = 25,985,403,417,744
  5. Step 5: Solve for x
    x = 25,985,403,417,744/2,423,442
  6. Step 6: Final answer
    x = 10,722,519.22

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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.