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Finding the Third Proportional to 470,646 and 969,145.50

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Solution

The third proportional to 470,646 and 969,145.50 is: 1,995,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,646 : 969,145.50 = 969,145.50 : x
  2. Step 2: Convert to fraction form
    470,646/969,145.50 = 969,145.50/x
  3. Step 3: Cross multiply
    470,646x = 969,145.50 × 969,145.50
  4. Step 4: Simplify right side
    470,646x = 939,243,000,170.25
  5. Step 5: Solve for x
    x = 939,243,000,170.25/470,646
  6. Step 6: Final answer
    x = 1,995,646.41

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.