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Finding the Third Proportional to 1,475,200 and 2,278,304

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Solution

The third proportional to 1,475,200 and 2,278,304 is: 3,518,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475,200 : 2,278,304 = 2,278,304 : x
  2. Step 2: Convert to fraction form
    1,475,200/2,278,304 = 2,278,304/x
  3. Step 3: Cross multiply
    1,475,200x = 2,278,304 × 2,278,304
  4. Step 4: Simplify right side
    1,475,200x = 5,190,669,116,416
  5. Step 5: Solve for x
    x = 5,190,669,116,416/1,475,200
  6. Step 6: Final answer
    x = 3,518,620.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.