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Finding the Third Proportional to 470,064 and 993,712

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Solution

The third proportional to 470,064 and 993,712 is: 2,100,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,064 : 993,712 = 993,712 : x
  2. Step 2: Convert to fraction form
    470,064/993,712 = 993,712/x
  3. Step 3: Cross multiply
    470,064x = 993,712 × 993,712
  4. Step 4: Simplify right side
    470,064x = 987,463,538,944
  5. Step 5: Solve for x
    x = 987,463,538,944/470,064
  6. Step 6: Final answer
    x = 2,100,700.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.