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Finding the Third Proportional to 511,332.75 and 1,076,581.13

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Solution

The third proportional to 511,332.75 and 1,076,581.13 is: 2,266,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,332.75 : 1,076,581.13 = 1,076,581.13 : x
  2. Step 2: Convert to fraction form
    511,332.75/1,076,581.13 = 1,076,581.13/x
  3. Step 3: Cross multiply
    511,332.75x = 1,076,581.13 × 1,076,581.13
  4. Step 4: Simplify right side
    511,332.75x = 1,159,026,918,706.27
  5. Step 5: Solve for x
    x = 1,159,026,918,706.27/511,332.75
  6. Step 6: Final answer
    x = 2,266,678.44

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Why These Related Problems?

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