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Finding the Third Proportional to 464,112 and 1,017,828

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Solution

The third proportional to 464,112 and 1,017,828 is: 2,232,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,112 : 1,017,828 = 1,017,828 : x
  2. Step 2: Convert to fraction form
    464,112/1,017,828 = 1,017,828/x
  3. Step 3: Cross multiply
    464,112x = 1,017,828 × 1,017,828
  4. Step 4: Simplify right side
    464,112x = 1,035,973,837,584
  5. Step 5: Solve for x
    x = 1,035,973,837,584/464,112
  6. Step 6: Final answer
    x = 2,232,163.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.