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Finding the Third Proportional to 839,140 and 1,290,566

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Solution

The third proportional to 839,140 and 1,290,566 is: 1,984,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,140 : 1,290,566 = 1,290,566 : x
  2. Step 2: Convert to fraction form
    839,140/1,290,566 = 1,290,566/x
  3. Step 3: Cross multiply
    839,140x = 1,290,566 × 1,290,566
  4. Step 4: Simplify right side
    839,140x = 1,665,560,600,356
  5. Step 5: Solve for x
    x = 1,665,560,600,356/839,140
  6. Step 6: Final answer
    x = 1,984,842.34

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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.