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Finding the Third Proportional to 5,894,208 and 9,129,024

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Solution

The third proportional to 5,894,208 and 9,129,024 is: 14,139,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894,208 : 9,129,024 = 9,129,024 : x
  2. Step 2: Convert to fraction form
    5,894,208/9,129,024 = 9,129,024/x
  3. Step 3: Cross multiply
    5,894,208x = 9,129,024 × 9,129,024
  4. Step 4: Simplify right side
    5,894,208x = 83,339,079,192,576
  5. Step 5: Solve for x
    x = 83,339,079,192,576/5,894,208
  6. Step 6: Final answer
    x = 14,139,147.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.