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Finding the Third Proportional to 1,289,152 and 2,684,164

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Solution

The third proportional to 1,289,152 and 2,684,164 is: 5,588,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,152 : 2,684,164 = 2,684,164 : x
  2. Step 2: Convert to fraction form
    1,289,152/2,684,164 = 2,684,164/x
  3. Step 3: Cross multiply
    1,289,152x = 2,684,164 × 2,684,164
  4. Step 4: Simplify right side
    1,289,152x = 7,204,736,378,896
  5. Step 5: Solve for x
    x = 7,204,736,378,896/1,289,152
  6. Step 6: Final answer
    x = 5,588,740.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.