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Finding the Third Proportional to 787,072 and 1,189,984

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Solution

The third proportional to 787,072 and 1,189,984 is: 1,799,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,072 : 1,189,984 = 1,189,984 : x
  2. Step 2: Convert to fraction form
    787,072/1,189,984 = 1,189,984/x
  3. Step 3: Cross multiply
    787,072x = 1,189,984 × 1,189,984
  4. Step 4: Simplify right side
    787,072x = 1,416,061,920,256
  5. Step 5: Solve for x
    x = 1,416,061,920,256/787,072
  6. Step 6: Final answer
    x = 1,799,151.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.