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Finding the Third Proportional to 616,821 and 1,427,852

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Solution

The third proportional to 616,821 and 1,427,852 is: 3,305,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,821 : 1,427,852 = 1,427,852 : x
  2. Step 2: Convert to fraction form
    616,821/1,427,852 = 1,427,852/x
  3. Step 3: Cross multiply
    616,821x = 1,427,852 × 1,427,852
  4. Step 4: Simplify right side
    616,821x = 2,038,761,333,904
  5. Step 5: Solve for x
    x = 2,038,761,333,904/616,821
  6. Step 6: Final answer
    x = 3,305,272.25

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.