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Finding the Third Proportional to 506,944 and 1,088,768

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Solution

The third proportional to 506,944 and 1,088,768 is: 2,338,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,944 : 1,088,768 = 1,088,768 : x
  2. Step 2: Convert to fraction form
    506,944/1,088,768 = 1,088,768/x
  3. Step 3: Cross multiply
    506,944x = 1,088,768 × 1,088,768
  4. Step 4: Simplify right side
    506,944x = 1,185,415,757,824
  5. Step 5: Solve for x
    x = 1,185,415,757,824/506,944
  6. Step 6: Final answer
    x = 2,338,356.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.