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Finding the Third Proportional to 576,927 and 1,264,563

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Solution

The third proportional to 576,927 and 1,264,563 is: 2,771,788.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,927 : 1,264,563 = 1,264,563 : x
  2. Step 2: Convert to fraction form
    576,927/1,264,563 = 1,264,563/x
  3. Step 3: Cross multiply
    576,927x = 1,264,563 × 1,264,563
  4. Step 4: Simplify right side
    576,927x = 1,599,119,580,969
  5. Step 5: Solve for x
    x = 1,599,119,580,969/576,927
  6. Step 6: Final answer
    x = 2,771,788.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.