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Finding the Third Proportional to 1,230,224 and 2,662,624

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Solution

The third proportional to 1,230,224 and 2,662,624 is: 5,762,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,224 : 2,662,624 = 2,662,624 : x
  2. Step 2: Convert to fraction form
    1,230,224/2,662,624 = 2,662,624/x
  3. Step 3: Cross multiply
    1,230,224x = 2,662,624 × 2,662,624
  4. Step 4: Simplify right side
    1,230,224x = 7,089,566,565,376
  5. Step 5: Solve for x
    x = 7,089,566,565,376/1,230,224
  6. Step 6: Final answer
    x = 5,762,825.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.