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Finding the Third Proportional to 965,888 and 2,097,852

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Solution

The third proportional to 965,888 and 2,097,852 is: 4,556,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,888 : 2,097,852 = 2,097,852 : x
  2. Step 2: Convert to fraction form
    965,888/2,097,852 = 2,097,852/x
  3. Step 3: Cross multiply
    965,888x = 2,097,852 × 2,097,852
  4. Step 4: Simplify right side
    965,888x = 4,400,983,013,904
  5. Step 5: Solve for x
    x = 4,400,983,013,904/965,888
  6. Step 6: Final answer
    x = 4,556,411.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.