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Finding the Third Proportional to 518,811 and 1,136,037

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Solution

The third proportional to 518,811 and 1,136,037 is: 2,487,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,811 : 1,136,037 = 1,136,037 : x
  2. Step 2: Convert to fraction form
    518,811/1,136,037 = 1,136,037/x
  3. Step 3: Cross multiply
    518,811x = 1,136,037 × 1,136,037
  4. Step 4: Simplify right side
    518,811x = 1,290,580,065,369
  5. Step 5: Solve for x
    x = 1,290,580,065,369/518,811
  6. Step 6: Final answer
    x = 2,487,572.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.