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Finding the Third Proportional to 839,132 and 1,290,553

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Solution

The third proportional to 839,132 and 1,290,553 is: 1,984,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,132 : 1,290,553 = 1,290,553 : x
  2. Step 2: Convert to fraction form
    839,132/1,290,553 = 1,290,553/x
  3. Step 3: Cross multiply
    839,132x = 1,290,553 × 1,290,553
  4. Step 4: Simplify right side
    839,132x = 1,665,527,045,809
  5. Step 5: Solve for x
    x = 1,665,527,045,809/839,132
  6. Step 6: Final answer
    x = 1,984,821.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.