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Finding the Third Proportional to 422,010 and 921,516

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Solution

The third proportional to 422,010 and 921,516 is: 2,012,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,010 : 921,516 = 921,516 : x
  2. Step 2: Convert to fraction form
    422,010/921,516 = 921,516/x
  3. Step 3: Cross multiply
    422,010x = 921,516 × 921,516
  4. Step 4: Simplify right side
    422,010x = 849,191,738,256
  5. Step 5: Solve for x
    x = 849,191,738,256/422,010
  6. Step 6: Final answer
    x = 2,012,255.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.