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Finding the Third Proportional to 845,777 and 1,761,534

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Solution

The third proportional to 845,777 and 1,761,534 is: 3,668,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,777 : 1,761,534 = 1,761,534 : x
  2. Step 2: Convert to fraction form
    845,777/1,761,534 = 1,761,534/x
  3. Step 3: Cross multiply
    845,777x = 1,761,534 × 1,761,534
  4. Step 4: Simplify right side
    845,777x = 3,103,002,033,156
  5. Step 5: Solve for x
    x = 3,103,002,033,156/845,777
  6. Step 6: Final answer
    x = 3,668,818.18

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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.