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Finding the Third Proportional to 1,030,233 and 2,237,712

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Solution

The third proportional to 1,030,233 and 2,237,712 is: 4,860,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,233 : 2,237,712 = 2,237,712 : x
  2. Step 2: Convert to fraction form
    1,030,233/2,237,712 = 2,237,712/x
  3. Step 3: Cross multiply
    1,030,233x = 2,237,712 × 2,237,712
  4. Step 4: Simplify right side
    1,030,233x = 5,007,354,994,944
  5. Step 5: Solve for x
    x = 5,007,354,994,944/1,030,233
  6. Step 6: Final answer
    x = 4,860,410.21

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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.