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Finding the Third Proportional to 959,047 and 1,432,003

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Solution

The third proportional to 959,047 and 1,432,003 is: 2,138,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,047 : 1,432,003 = 1,432,003 : x
  2. Step 2: Convert to fraction form
    959,047/1,432,003 = 1,432,003/x
  3. Step 3: Cross multiply
    959,047x = 1,432,003 × 1,432,003
  4. Step 4: Simplify right side
    959,047x = 2,050,632,592,009
  5. Step 5: Solve for x
    x = 2,050,632,592,009/959,047
  6. Step 6: Final answer
    x = 2,138,198.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.