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Finding the Third Proportional to 470,093 and 1,015,000

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Solution

The third proportional to 470,093 and 1,015,000 is: 2,191,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,093 : 1,015,000 = 1,015,000 : x
  2. Step 2: Convert to fraction form
    470,093/1,015,000 = 1,015,000/x
  3. Step 3: Cross multiply
    470,093x = 1,015,000 × 1,015,000
  4. Step 4: Simplify right side
    470,093x = 1,030,225,000,000
  5. Step 5: Solve for x
    x = 1,030,225,000,000/470,093
  6. Step 6: Final answer
    x = 2,191,534.44

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