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Finding the Third Proportional to 2,430,629 and 5,238,080

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Solution

The third proportional to 2,430,629 and 5,238,080 is: 11,288,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430,629 : 5,238,080 = 5,238,080 : x
  2. Step 2: Convert to fraction form
    2,430,629/5,238,080 = 5,238,080/x
  3. Step 3: Cross multiply
    2,430,629x = 5,238,080 × 5,238,080
  4. Step 4: Simplify right side
    2,430,629x = 27,437,482,086,400
  5. Step 5: Solve for x
    x = 27,437,482,086,400/2,430,629
  6. Step 6: Final answer
    x = 11,288,222.96

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Why These Related Problems?

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