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Finding the Third Proportional to 921,046 and 1,420,944

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Solution

The third proportional to 921,046 and 1,420,944 is: 2,192,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,046 : 1,420,944 = 1,420,944 : x
  2. Step 2: Convert to fraction form
    921,046/1,420,944 = 1,420,944/x
  3. Step 3: Cross multiply
    921,046x = 1,420,944 × 1,420,944
  4. Step 4: Simplify right side
    921,046x = 2,019,081,851,136
  5. Step 5: Solve for x
    x = 2,019,081,851,136/921,046
  6. Step 6: Final answer
    x = 2,192,161.79

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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.