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Finding the Third Proportional to 427,308 and 923,142

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Solution

The third proportional to 427,308 and 923,142 is: 1,994,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,308 : 923,142 = 923,142 : x
  2. Step 2: Convert to fraction form
    427,308/923,142 = 923,142/x
  3. Step 3: Cross multiply
    427,308x = 923,142 × 923,142
  4. Step 4: Simplify right side
    427,308x = 852,191,152,164
  5. Step 5: Solve for x
    x = 852,191,152,164/427,308
  6. Step 6: Final answer
    x = 1,994,325.29

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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.