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Finding the Third Proportional to 2,428,144 and 3,497,576

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Solution

The third proportional to 2,428,144 and 3,497,576 is: 5,038,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428,144 : 3,497,576 = 3,497,576 : x
  2. Step 2: Convert to fraction form
    2,428,144/3,497,576 = 3,497,576/x
  3. Step 3: Cross multiply
    2,428,144x = 3,497,576 × 3,497,576
  4. Step 4: Simplify right side
    2,428,144x = 12,233,037,875,776
  5. Step 5: Solve for x
    x = 12,233,037,875,776/2,428,144
  6. Step 6: Final answer
    x = 5,038,019.93

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.