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Finding the Third Proportional to 594,123 and 894,024

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Solution

The third proportional to 594,123 and 894,024 is: 1,345,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,123 : 894,024 = 894,024 : x
  2. Step 2: Convert to fraction form
    594,123/894,024 = 894,024/x
  3. Step 3: Cross multiply
    594,123x = 894,024 × 894,024
  4. Step 4: Simplify right side
    594,123x = 799,278,912,576
  5. Step 5: Solve for x
    x = 799,278,912,576/594,123
  6. Step 6: Final answer
    x = 1,345,308.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.