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Finding the Third Proportional to 767,927 and 1,675,818

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Solution

The third proportional to 767,927 and 1,675,818 is: 3,657,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,927 : 1,675,818 = 1,675,818 : x
  2. Step 2: Convert to fraction form
    767,927/1,675,818 = 1,675,818/x
  3. Step 3: Cross multiply
    767,927x = 1,675,818 × 1,675,818
  4. Step 4: Simplify right side
    767,927x = 2,808,365,969,124
  5. Step 5: Solve for x
    x = 2,808,365,969,124/767,927
  6. Step 6: Final answer
    x = 3,657,074.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.