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Finding the Third Proportional to 470,467.50 and 1,018,695

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Solution

The third proportional to 470,467.50 and 1,018,695 is: 2,205,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,467.50 : 1,018,695 = 1,018,695 : x
  2. Step 2: Convert to fraction form
    470,467.50/1,018,695 = 1,018,695/x
  3. Step 3: Cross multiply
    470,467.50x = 1,018,695 × 1,018,695
  4. Step 4: Simplify right side
    470,467.50x = 1,037,739,503,025
  5. Step 5: Solve for x
    x = 1,037,739,503,025/470,467.50
  6. Step 6: Final answer
    x = 2,205,762.36

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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.