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Finding the Third Proportional to 423,569 and 930,082

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Solution

The third proportional to 423,569 and 930,082 is: 2,042,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,569 : 930,082 = 930,082 : x
  2. Step 2: Convert to fraction form
    423,569/930,082 = 930,082/x
  3. Step 3: Cross multiply
    423,569x = 930,082 × 930,082
  4. Step 4: Simplify right side
    423,569x = 865,052,526,724
  5. Step 5: Solve for x
    x = 865,052,526,724/423,569
  6. Step 6: Final answer
    x = 2,042,294.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.