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Finding the Third Proportional to 427,464 and 923,454

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Solution

The third proportional to 427,464 and 923,454 is: 1,994,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,464 : 923,454 = 923,454 : x
  2. Step 2: Convert to fraction form
    427,464/923,454 = 923,454/x
  3. Step 3: Cross multiply
    427,464x = 923,454 × 923,454
  4. Step 4: Simplify right side
    427,464x = 852,767,290,116
  5. Step 5: Solve for x
    x = 852,767,290,116/427,464
  6. Step 6: Final answer
    x = 1,994,945.28

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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.