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Finding the Third Proportional to 427,532 and 923,590

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Solution

The third proportional to 427,532 and 923,590 is: 1,995,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,532 : 923,590 = 923,590 : x
  2. Step 2: Convert to fraction form
    427,532/923,590 = 923,590/x
  3. Step 3: Cross multiply
    427,532x = 923,590 × 923,590
  4. Step 4: Simplify right side
    427,532x = 853,018,488,100
  5. Step 5: Solve for x
    x = 853,018,488,100/427,532
  6. Step 6: Final answer
    x = 1,995,215.53

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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.