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Finding the Third Proportional to 608,568 and 946,024

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Solution

The third proportional to 608,568 and 946,024 is: 1,470,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,568 : 946,024 = 946,024 : x
  2. Step 2: Convert to fraction form
    608,568/946,024 = 946,024/x
  3. Step 3: Cross multiply
    608,568x = 946,024 × 946,024
  4. Step 4: Simplify right side
    608,568x = 894,961,408,576
  5. Step 5: Solve for x
    x = 894,961,408,576/608,568
  6. Step 6: Final answer
    x = 1,470,602.15

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Why These Related Problems?

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