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Finding the Third Proportional to 2,097,721 and 4,594,084

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Solution

The third proportional to 2,097,721 and 4,594,084 is: 10,061,208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,721 : 4,594,084 = 4,594,084 : x
  2. Step 2: Convert to fraction form
    2,097,721/4,594,084 = 4,594,084/x
  3. Step 3: Cross multiply
    2,097,721x = 4,594,084 × 4,594,084
  4. Step 4: Simplify right side
    2,097,721x = 21,105,607,799,056
  5. Step 5: Solve for x
    x = 21,105,607,799,056/2,097,721
  6. Step 6: Final answer
    x = 10,061,208.23

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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.