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Finding the Third Proportional to 897,824 and 1,938,086

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Solution

The third proportional to 897,824 and 1,938,086 is: 4,183,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,824 : 1,938,086 = 1,938,086 : x
  2. Step 2: Convert to fraction form
    897,824/1,938,086 = 1,938,086/x
  3. Step 3: Cross multiply
    897,824x = 1,938,086 × 1,938,086
  4. Step 4: Simplify right side
    897,824x = 3,756,177,343,396
  5. Step 5: Solve for x
    x = 3,756,177,343,396/897,824
  6. Step 6: Final answer
    x = 4,183,645.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.