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Finding the Third Proportional to 499,712 and 1,089,152

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Solution

The third proportional to 499,712 and 1,089,152 is: 2,373,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,712 : 1,089,152 = 1,089,152 : x
  2. Step 2: Convert to fraction form
    499,712/1,089,152 = 1,089,152/x
  3. Step 3: Cross multiply
    499,712x = 1,089,152 × 1,089,152
  4. Step 4: Simplify right side
    499,712x = 1,186,252,079,104
  5. Step 5: Solve for x
    x = 1,186,252,079,104/499,712
  6. Step 6: Final answer
    x = 2,373,871.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.