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Finding the Third Proportional to 657,201 and 1,436,052

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Solution

The third proportional to 657,201 and 1,436,052 is: 3,137,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,201 : 1,436,052 = 1,436,052 : x
  2. Step 2: Convert to fraction form
    657,201/1,436,052 = 1,436,052/x
  3. Step 3: Cross multiply
    657,201x = 1,436,052 × 1,436,052
  4. Step 4: Simplify right side
    657,201x = 2,062,245,346,704
  5. Step 5: Solve for x
    x = 2,062,245,346,704/657,201
  6. Step 6: Final answer
    x = 3,137,921.80

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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.