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Finding the Third Proportional to 2,780,144 and 6,038,468

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Solution

The third proportional to 2,780,144 and 6,038,468 is: 13,115,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780,144 : 6,038,468 = 6,038,468 : x
  2. Step 2: Convert to fraction form
    2,780,144/6,038,468 = 6,038,468/x
  3. Step 3: Cross multiply
    2,780,144x = 6,038,468 × 6,038,468
  4. Step 4: Simplify right side
    2,780,144x = 36,463,095,787,024
  5. Step 5: Solve for x
    x = 36,463,095,787,024/2,780,144
  6. Step 6: Final answer
    x = 13,115,542.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.