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Finding the Third Proportional to 1,397,430 and 2,994,084

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Solution

The third proportional to 1,397,430 and 2,994,084 is: 6,415,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,430 : 2,994,084 = 2,994,084 : x
  2. Step 2: Convert to fraction form
    1,397,430/2,994,084 = 2,994,084/x
  3. Step 3: Cross multiply
    1,397,430x = 2,994,084 × 2,994,084
  4. Step 4: Simplify right side
    1,397,430x = 8,964,538,999,056
  5. Step 5: Solve for x
    x = 8,964,538,999,056/1,397,430
  6. Step 6: Final answer
    x = 6,415,018.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.