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Finding the Third Proportional to 513,720.04 and 1,114,981.29

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Solution

The third proportional to 513,720.04 and 1,114,981.29 is: 2,419,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,720.04 : 1,114,981.29 = 1,114,981.29 : x
  2. Step 2: Convert to fraction form
    513,720.04/1,114,981.29 = 1,114,981.29/x
  3. Step 3: Cross multiply
    513,720.04x = 1,114,981.29 × 1,114,981.29
  4. Step 4: Simplify right side
    513,720.04x = 1,243,183,288,025.72
  5. Step 5: Solve for x
    x = 1,243,183,288,025.72/513,720.04
  6. Step 6: Final answer
    x = 2,419,962.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.