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Finding the Third Proportional to 1,763,828 and 3,863,970

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Solution

The third proportional to 1,763,828 and 3,863,970 is: 8,464,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763,828 : 3,863,970 = 3,863,970 : x
  2. Step 2: Convert to fraction form
    1,763,828/3,863,970 = 3,863,970/x
  3. Step 3: Cross multiply
    1,763,828x = 3,863,970 × 3,863,970
  4. Step 4: Simplify right side
    1,763,828x = 14,930,264,160,900
  5. Step 5: Solve for x
    x = 14,930,264,160,900/1,763,828
  6. Step 6: Final answer
    x = 8,464,693.93

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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.