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Finding the Third Proportional to 511,644 and 1,085,628

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Solution

The third proportional to 511,644 and 1,085,628 is: 2,303,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,644 : 1,085,628 = 1,085,628 : x
  2. Step 2: Convert to fraction form
    511,644/1,085,628 = 1,085,628/x
  3. Step 3: Cross multiply
    511,644x = 1,085,628 × 1,085,628
  4. Step 4: Simplify right side
    511,644x = 1,178,588,154,384
  5. Step 5: Solve for x
    x = 1,178,588,154,384/511,644
  6. Step 6: Final answer
    x = 2,303,531.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.