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Finding the Third Proportional to 840,756 and 1,280,574

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Solution

The third proportional to 840,756 and 1,280,574 is: 1,950,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,756 : 1,280,574 = 1,280,574 : x
  2. Step 2: Convert to fraction form
    840,756/1,280,574 = 1,280,574/x
  3. Step 3: Cross multiply
    840,756x = 1,280,574 × 1,280,574
  4. Step 4: Simplify right side
    840,756x = 1,639,869,769,476
  5. Step 5: Solve for x
    x = 1,639,869,769,476/840,756
  6. Step 6: Final answer
    x = 1,950,470.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.