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Finding the Third Proportional to 1,724,764 and 3,628,262

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Solution

The third proportional to 1,724,764 and 3,628,262 is: 7,632,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,764 : 3,628,262 = 3,628,262 : x
  2. Step 2: Convert to fraction form
    1,724,764/3,628,262 = 3,628,262/x
  3. Step 3: Cross multiply
    1,724,764x = 3,628,262 × 3,628,262
  4. Step 4: Simplify right side
    1,724,764x = 13,164,285,140,644
  5. Step 5: Solve for x
    x = 13,164,285,140,644/1,724,764
  6. Step 6: Final answer
    x = 7,632,513.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.