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Finding the Third Proportional to 792,905 and 1,207,944

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Solution

The third proportional to 792,905 and 1,207,944 is: 1,840,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,905 : 1,207,944 = 1,207,944 : x
  2. Step 2: Convert to fraction form
    792,905/1,207,944 = 1,207,944/x
  3. Step 3: Cross multiply
    792,905x = 1,207,944 × 1,207,944
  4. Step 4: Simplify right side
    792,905x = 1,459,128,707,136
  5. Step 5: Solve for x
    x = 1,459,128,707,136/792,905
  6. Step 6: Final answer
    x = 1,840,231.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.