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Finding the Third Proportional to 897,712 and 1,967,116

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Solution

The third proportional to 897,712 and 1,967,116 is: 4,310,452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,712 : 1,967,116 = 1,967,116 : x
  2. Step 2: Convert to fraction form
    897,712/1,967,116 = 1,967,116/x
  3. Step 3: Cross multiply
    897,712x = 1,967,116 × 1,967,116
  4. Step 4: Simplify right side
    897,712x = 3,869,545,357,456
  5. Step 5: Solve for x
    x = 3,869,545,357,456/897,712
  6. Step 6: Final answer
    x = 4,310,452.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.