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Finding the Third Proportional to 667,604 and 1,024,736

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Solution

The third proportional to 667,604 and 1,024,736 is: 1,572,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,604 : 1,024,736 = 1,024,736 : x
  2. Step 2: Convert to fraction form
    667,604/1,024,736 = 1,024,736/x
  3. Step 3: Cross multiply
    667,604x = 1,024,736 × 1,024,736
  4. Step 4: Simplify right side
    667,604x = 1,050,083,869,696
  5. Step 5: Solve for x
    x = 1,050,083,869,696/667,604
  6. Step 6: Final answer
    x = 1,572,914.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.