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Finding the Third Proportional to 722,672 and 1,073,532

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Solution

The third proportional to 722,672 and 1,073,532 is: 1,594,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,672 : 1,073,532 = 1,073,532 : x
  2. Step 2: Convert to fraction form
    722,672/1,073,532 = 1,073,532/x
  3. Step 3: Cross multiply
    722,672x = 1,073,532 × 1,073,532
  4. Step 4: Simplify right side
    722,672x = 1,152,470,955,024
  5. Step 5: Solve for x
    x = 1,152,470,955,024/722,672
  6. Step 6: Final answer
    x = 1,594,735.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.