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Finding the Third Proportional to 904,144 and 1,106,320

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Solution

The third proportional to 904,144 and 1,106,320 is: 1,353,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,144 : 1,106,320 = 1,106,320 : x
  2. Step 2: Convert to fraction form
    904,144/1,106,320 = 1,106,320/x
  3. Step 3: Cross multiply
    904,144x = 1,106,320 × 1,106,320
  4. Step 4: Simplify right side
    904,144x = 1,223,943,942,400
  5. Step 5: Solve for x
    x = 1,223,943,942,400/904,144
  6. Step 6: Final answer
    x = 1,353,704.66

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.