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Finding the Third Proportional to 470,672 and 1,019,968

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Solution

The third proportional to 470,672 and 1,019,968 is: 2,210,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,672 : 1,019,968 = 1,019,968 : x
  2. Step 2: Convert to fraction form
    470,672/1,019,968 = 1,019,968/x
  3. Step 3: Cross multiply
    470,672x = 1,019,968 × 1,019,968
  4. Step 4: Simplify right side
    470,672x = 1,040,334,721,024
  5. Step 5: Solve for x
    x = 1,040,334,721,024/470,672
  6. Step 6: Final answer
    x = 2,210,317.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.