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Finding the Third Proportional to 459,106.50 and 993,012

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Solution

The third proportional to 459,106.50 and 993,012 is: 2,147,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,106.50 : 993,012 = 993,012 : x
  2. Step 2: Convert to fraction form
    459,106.50/993,012 = 993,012/x
  3. Step 3: Cross multiply
    459,106.50x = 993,012 × 993,012
  4. Step 4: Simplify right side
    459,106.50x = 986,072,832,144
  5. Step 5: Solve for x
    x = 986,072,832,144/459,106.50
  6. Step 6: Final answer
    x = 2,147,808.48

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Why These Related Problems?

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