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Finding the Third Proportional to 2,322,316 and 3,518,467

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Solution

The third proportional to 2,322,316 and 3,518,467 is: 5,330,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322,316 : 3,518,467 = 3,518,467 : x
  2. Step 2: Convert to fraction form
    2,322,316/3,518,467 = 3,518,467/x
  3. Step 3: Cross multiply
    2,322,316x = 3,518,467 × 3,518,467
  4. Step 4: Simplify right side
    2,322,316x = 12,379,610,030,089
  5. Step 5: Solve for x
    x = 12,379,610,030,089/2,322,316
  6. Step 6: Final answer
    x = 5,330,717.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.