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Finding the Third Proportional to 511,578 and 1,076,184

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Solution

The third proportional to 511,578 and 1,076,184 is: 2,263,920.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,578 : 1,076,184 = 1,076,184 : x
  2. Step 2: Convert to fraction form
    511,578/1,076,184 = 1,076,184/x
  3. Step 3: Cross multiply
    511,578x = 1,076,184 × 1,076,184
  4. Step 4: Simplify right side
    511,578x = 1,158,172,001,856
  5. Step 5: Solve for x
    x = 1,158,172,001,856/511,578
  6. Step 6: Final answer
    x = 2,263,920.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.