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Finding the Third Proportional to 681,688 and 1,036,697

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Solution

The third proportional to 681,688 and 1,036,697 is: 1,576,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,688 : 1,036,697 = 1,036,697 : x
  2. Step 2: Convert to fraction form
    681,688/1,036,697 = 1,036,697/x
  3. Step 3: Cross multiply
    681,688x = 1,036,697 × 1,036,697
  4. Step 4: Simplify right side
    681,688x = 1,074,740,669,809
  5. Step 5: Solve for x
    x = 1,074,740,669,809/681,688
  6. Step 6: Final answer
    x = 1,576,587.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.