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Finding the Third Proportional to 1,285,683 and 2,764,854

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Solution

The third proportional to 1,285,683 and 2,764,854 is: 5,945,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,683 : 2,764,854 = 2,764,854 : x
  2. Step 2: Convert to fraction form
    1,285,683/2,764,854 = 2,764,854/x
  3. Step 3: Cross multiply
    1,285,683x = 2,764,854 × 2,764,854
  4. Step 4: Simplify right side
    1,285,683x = 7,644,417,641,316
  5. Step 5: Solve for x
    x = 7,644,417,641,316/1,285,683
  6. Step 6: Final answer
    x = 5,945,802.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.