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Finding the Third Proportional to 420,144 and 921,952

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Solution

The third proportional to 420,144 and 921,952 is: 2,023,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,144 : 921,952 = 921,952 : x
  2. Step 2: Convert to fraction form
    420,144/921,952 = 921,952/x
  3. Step 3: Cross multiply
    420,144x = 921,952 × 921,952
  4. Step 4: Simplify right side
    420,144x = 849,995,490,304
  5. Step 5: Solve for x
    x = 849,995,490,304/420,144
  6. Step 6: Final answer
    x = 2,023,105.15

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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.