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Finding the Third Proportional to 442,020 and 946,088

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Solution

The third proportional to 442,020 and 946,088 is: 2,024,981.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,020 : 946,088 = 946,088 : x
  2. Step 2: Convert to fraction form
    442,020/946,088 = 946,088/x
  3. Step 3: Cross multiply
    442,020x = 946,088 × 946,088
  4. Step 4: Simplify right side
    442,020x = 895,082,503,744
  5. Step 5: Solve for x
    x = 895,082,503,744/442,020
  6. Step 6: Final answer
    x = 2,024,981.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.