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Finding the Third Proportional to 470,086 and 1,014,975

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Solution

The third proportional to 470,086 and 1,014,975 is: 2,191,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,086 : 1,014,975 = 1,014,975 : x
  2. Step 2: Convert to fraction form
    470,086/1,014,975 = 1,014,975/x
  3. Step 3: Cross multiply
    470,086x = 1,014,975 × 1,014,975
  4. Step 4: Simplify right side
    470,086x = 1,030,174,250,625
  5. Step 5: Solve for x
    x = 1,030,174,250,625/470,086
  6. Step 6: Final answer
    x = 2,191,459.12

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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.