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Finding the Third Proportional to 921,456 and 1,423,008

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Solution

The third proportional to 921,456 and 1,423,008 is: 2,197,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,456 : 1,423,008 = 1,423,008 : x
  2. Step 2: Convert to fraction form
    921,456/1,423,008 = 1,423,008/x
  3. Step 3: Cross multiply
    921,456x = 1,423,008 × 1,423,008
  4. Step 4: Simplify right side
    921,456x = 2,024,951,768,064
  5. Step 5: Solve for x
    x = 2,024,951,768,064/921,456
  6. Step 6: Final answer
    x = 2,197,556.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.