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Finding the Third Proportional to 785,943 and 1,183,491

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Solution

The third proportional to 785,943 and 1,183,491 is: 1,782,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,943 : 1,183,491 = 1,183,491 : x
  2. Step 2: Convert to fraction form
    785,943/1,183,491 = 1,183,491/x
  3. Step 3: Cross multiply
    785,943x = 1,183,491 × 1,183,491
  4. Step 4: Simplify right side
    785,943x = 1,400,650,947,081
  5. Step 5: Solve for x
    x = 1,400,650,947,081/785,943
  6. Step 6: Final answer
    x = 1,782,127.90

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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.