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Finding the Third Proportional to 421,116 and 920,952

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Solution

The third proportional to 421,116 and 920,952 is: 2,014,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,116 : 920,952 = 920,952 : x
  2. Step 2: Convert to fraction form
    421,116/920,952 = 920,952/x
  3. Step 3: Cross multiply
    421,116x = 920,952 × 920,952
  4. Step 4: Simplify right side
    421,116x = 848,152,586,304
  5. Step 5: Solve for x
    x = 848,152,586,304/421,116
  6. Step 6: Final answer
    x = 2,014,059.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.