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Finding the Third Proportional to 1,285,712 and 2,454,736

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Solution

The third proportional to 1,285,712 and 2,454,736 is: 4,686,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,712 : 2,454,736 = 2,454,736 : x
  2. Step 2: Convert to fraction form
    1,285,712/2,454,736 = 2,454,736/x
  3. Step 3: Cross multiply
    1,285,712x = 2,454,736 × 2,454,736
  4. Step 4: Simplify right side
    1,285,712x = 6,025,728,829,696
  5. Step 5: Solve for x
    x = 6,025,728,829,696/1,285,712
  6. Step 6: Final answer
    x = 4,686,686.31

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.