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Finding the Third Proportional to 784,848 and 1,183,024

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Solution

The third proportional to 784,848 and 1,183,024 is: 1,783,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,848 : 1,183,024 = 1,183,024 : x
  2. Step 2: Convert to fraction form
    784,848/1,183,024 = 1,183,024/x
  3. Step 3: Cross multiply
    784,848x = 1,183,024 × 1,183,024
  4. Step 4: Simplify right side
    784,848x = 1,399,545,784,576
  5. Step 5: Solve for x
    x = 1,399,545,784,576/784,848
  6. Step 6: Final answer
    x = 1,783,206.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.