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Finding the Third Proportional to 681,095 and 1,432,768

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Solution

The third proportional to 681,095 and 1,432,768 is: 3,014,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,095 : 1,432,768 = 1,432,768 : x
  2. Step 2: Convert to fraction form
    681,095/1,432,768 = 1,432,768/x
  3. Step 3: Cross multiply
    681,095x = 1,432,768 × 1,432,768
  4. Step 4: Simplify right side
    681,095x = 2,052,824,141,824
  5. Step 5: Solve for x
    x = 2,052,824,141,824/681,095
  6. Step 6: Final answer
    x = 3,014,005.60

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.