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Finding the Third Proportional to 768,944 and 1,183,533

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Solution

The third proportional to 768,944 and 1,183,533 is: 1,821,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,944 : 1,183,533 = 1,183,533 : x
  2. Step 2: Convert to fraction form
    768,944/1,183,533 = 1,183,533/x
  3. Step 3: Cross multiply
    768,944x = 1,183,533 × 1,183,533
  4. Step 4: Simplify right side
    768,944x = 1,400,750,362,089
  5. Step 5: Solve for x
    x = 1,400,750,362,089/768,944
  6. Step 6: Final answer
    x = 1,821,654.58

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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.