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Finding the Third Proportional to 839,696 and 1,774,240

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Solution

The third proportional to 839,696 and 1,774,240 is: 3,748,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,696 : 1,774,240 = 1,774,240 : x
  2. Step 2: Convert to fraction form
    839,696/1,774,240 = 1,774,240/x
  3. Step 3: Cross multiply
    839,696x = 1,774,240 × 1,774,240
  4. Step 4: Simplify right side
    839,696x = 3,147,927,577,600
  5. Step 5: Solve for x
    x = 3,147,927,577,600/839,696
  6. Step 6: Final answer
    x = 3,748,889.57

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.