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Finding the Third Proportional to 507,194 and 1,070,968

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Solution

The third proportional to 507,194 and 1,070,968 is: 2,261,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,194 : 1,070,968 = 1,070,968 : x
  2. Step 2: Convert to fraction form
    507,194/1,070,968 = 1,070,968/x
  3. Step 3: Cross multiply
    507,194x = 1,070,968 × 1,070,968
  4. Step 4: Simplify right side
    507,194x = 1,146,972,457,024
  5. Step 5: Solve for x
    x = 1,146,972,457,024/507,194
  6. Step 6: Final answer
    x = 2,261,407.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.