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Finding the Third Proportional to 674,056 and 1,467,140

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Solution

The third proportional to 674,056 and 1,467,140 is: 3,193,354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,056 : 1,467,140 = 1,467,140 : x
  2. Step 2: Convert to fraction form
    674,056/1,467,140 = 1,467,140/x
  3. Step 3: Cross multiply
    674,056x = 1,467,140 × 1,467,140
  4. Step 4: Simplify right side
    674,056x = 2,152,499,779,600
  5. Step 5: Solve for x
    x = 2,152,499,779,600/674,056
  6. Step 6: Final answer
    x = 3,193,354.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.