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Finding the Third Proportional to 427,569 and 923,658

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Solution

The third proportional to 427,569 and 923,658 is: 1,995,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,569 : 923,658 = 923,658 : x
  2. Step 2: Convert to fraction form
    427,569/923,658 = 923,658/x
  3. Step 3: Cross multiply
    427,569x = 923,658 × 923,658
  4. Step 4: Simplify right side
    427,569x = 853,144,100,964
  5. Step 5: Solve for x
    x = 853,144,100,964/427,569
  6. Step 6: Final answer
    x = 1,995,336.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.