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Finding the Third Proportional to 774,036 and 1,642,116

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Solution

The third proportional to 774,036 and 1,642,116 is: 3,483,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,036 : 1,642,116 = 1,642,116 : x
  2. Step 2: Convert to fraction form
    774,036/1,642,116 = 1,642,116/x
  3. Step 3: Cross multiply
    774,036x = 1,642,116 × 1,642,116
  4. Step 4: Simplify right side
    774,036x = 2,696,544,957,456
  5. Step 5: Solve for x
    x = 2,696,544,957,456/774,036
  6. Step 6: Final answer
    x = 3,483,746.18

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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.