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Finding the Third Proportional to 863,928 and 1,878,640

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Solution

The third proportional to 863,928 and 1,878,640 is: 4,085,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,928 : 1,878,640 = 1,878,640 : x
  2. Step 2: Convert to fraction form
    863,928/1,878,640 = 1,878,640/x
  3. Step 3: Cross multiply
    863,928x = 1,878,640 × 1,878,640
  4. Step 4: Simplify right side
    863,928x = 3,529,288,249,600
  5. Step 5: Solve for x
    x = 3,529,288,249,600/863,928
  6. Step 6: Final answer
    x = 4,085,164.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.