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Finding the Third Proportional to 1,397,412 and 2,994,048

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Solution

The third proportional to 1,397,412 and 2,994,048 is: 6,414,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,412 : 2,994,048 = 2,994,048 : x
  2. Step 2: Convert to fraction form
    1,397,412/2,994,048 = 2,994,048/x
  3. Step 3: Cross multiply
    1,397,412x = 2,994,048 × 2,994,048
  4. Step 4: Simplify right side
    1,397,412x = 8,964,323,426,304
  5. Step 5: Solve for x
    x = 8,964,323,426,304/1,397,412
  6. Step 6: Final answer
    x = 6,414,946.65

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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.