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Finding the Third Proportional to 713,662 and 1,043,697

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Solution

The third proportional to 713,662 and 1,043,697 is: 1,526,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,662 : 1,043,697 = 1,043,697 : x
  2. Step 2: Convert to fraction form
    713,662/1,043,697 = 1,043,697/x
  3. Step 3: Cross multiply
    713,662x = 1,043,697 × 1,043,697
  4. Step 4: Simplify right side
    713,662x = 1,089,303,427,809
  5. Step 5: Solve for x
    x = 1,089,303,427,809/713,662
  6. Step 6: Final answer
    x = 1,526,357.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.