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Finding the Third Proportional to 2,430,822 and 5,238,429

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Solution

The third proportional to 2,430,822 and 5,238,429 is: 11,288,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430,822 : 5,238,429 = 5,238,429 : x
  2. Step 2: Convert to fraction form
    2,430,822/5,238,429 = 5,238,429/x
  3. Step 3: Cross multiply
    2,430,822x = 5,238,429 × 5,238,429
  4. Step 4: Simplify right side
    2,430,822x = 27,441,138,388,041
  5. Step 5: Solve for x
    x = 27,441,138,388,041/2,430,822
  6. Step 6: Final answer
    x = 11,288,830.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.