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Finding the Third Proportional to 2,375,501 and 5,186,590

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Solution

The third proportional to 2,375,501 and 5,186,590 is: 11,324,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375,501 : 5,186,590 = 5,186,590 : x
  2. Step 2: Convert to fraction form
    2,375,501/5,186,590 = 5,186,590/x
  3. Step 3: Cross multiply
    2,375,501x = 5,186,590 × 5,186,590
  4. Step 4: Simplify right side
    2,375,501x = 26,900,715,828,100
  5. Step 5: Solve for x
    x = 26,900,715,828,100/2,375,501
  6. Step 6: Final answer
    x = 11,324,228.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.