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Finding the Third Proportional to 511,404 and 1,076,724

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Solution

The third proportional to 511,404 and 1,076,724 is: 2,266,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,404 : 1,076,724 = 1,076,724 : x
  2. Step 2: Convert to fraction form
    511,404/1,076,724 = 1,076,724/x
  3. Step 3: Cross multiply
    511,404x = 1,076,724 × 1,076,724
  4. Step 4: Simplify right side
    511,404x = 1,159,334,572,176
  5. Step 5: Solve for x
    x = 1,159,334,572,176/511,404
  6. Step 6: Final answer
    x = 2,266,964.22

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.