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Finding the Third Proportional to 964,698 and 2,100,828

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Solution

The third proportional to 964,698 and 2,100,828 is: 4,574,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,698 : 2,100,828 = 2,100,828 : x
  2. Step 2: Convert to fraction form
    964,698/2,100,828 = 2,100,828/x
  3. Step 3: Cross multiply
    964,698x = 2,100,828 × 2,100,828
  4. Step 4: Simplify right side
    964,698x = 4,413,478,285,584
  5. Step 5: Solve for x
    x = 4,413,478,285,584/964,698
  6. Step 6: Final answer
    x = 4,574,984.38

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