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Finding the Third Proportional to 713,663 and 1,093,100

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Solution

The third proportional to 713,663 and 1,093,100 is: 1,674,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,663 : 1,093,100 = 1,093,100 : x
  2. Step 2: Convert to fraction form
    713,663/1,093,100 = 1,093,100/x
  3. Step 3: Cross multiply
    713,663x = 1,093,100 × 1,093,100
  4. Step 4: Simplify right side
    713,663x = 1,194,867,610,000
  5. Step 5: Solve for x
    x = 1,194,867,610,000/713,663
  6. Step 6: Final answer
    x = 1,674,274.29

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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.