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Finding the Third Proportional to 420,120 and 921,904

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Solution

The third proportional to 420,120 and 921,904 is: 2,023,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,120 : 921,904 = 921,904 : x
  2. Step 2: Convert to fraction form
    420,120/921,904 = 921,904/x
  3. Step 3: Cross multiply
    420,120x = 921,904 × 921,904
  4. Step 4: Simplify right side
    420,120x = 849,906,985,216
  5. Step 5: Solve for x
    x = 849,906,985,216/420,120
  6. Step 6: Final answer
    x = 2,023,010.06

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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.