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Finding the Third Proportional to 1,589,760 and 2,333,952

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Solution

The third proportional to 1,589,760 and 2,333,952 is: 3,426,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589,760 : 2,333,952 = 2,333,952 : x
  2. Step 2: Convert to fraction form
    1,589,760/2,333,952 = 2,333,952/x
  3. Step 3: Cross multiply
    1,589,760x = 2,333,952 × 2,333,952
  4. Step 4: Simplify right side
    1,589,760x = 5,447,331,938,304
  5. Step 5: Solve for x
    x = 5,447,331,938,304/1,589,760
  6. Step 6: Final answer
    x = 3,426,512.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.