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Finding the Third Proportional to 897,770 and 1,969,960

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Solution

The third proportional to 897,770 and 1,969,960 is: 4,322,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,770 : 1,969,960 = 1,969,960 : x
  2. Step 2: Convert to fraction form
    897,770/1,969,960 = 1,969,960/x
  3. Step 3: Cross multiply
    897,770x = 1,969,960 × 1,969,960
  4. Step 4: Simplify right side
    897,770x = 3,880,742,401,600
  5. Step 5: Solve for x
    x = 3,880,742,401,600/897,770
  6. Step 6: Final answer
    x = 4,322,646.56

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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.