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Finding the Third Proportional to 845,969 and 1,761,648

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Solution

The third proportional to 845,969 and 1,761,648 is: 3,668,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,969 : 1,761,648 = 1,761,648 : x
  2. Step 2: Convert to fraction form
    845,969/1,761,648 = 1,761,648/x
  3. Step 3: Cross multiply
    845,969x = 1,761,648 × 1,761,648
  4. Step 4: Simplify right side
    845,969x = 3,103,403,675,904
  5. Step 5: Solve for x
    x = 3,103,403,675,904/845,969
  6. Step 6: Final answer
    x = 3,668,460.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.