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Finding the Third Proportional to 869,152 and 1,883,014

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Solution

The third proportional to 869,152 and 1,883,014 is: 4,079,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,152 : 1,883,014 = 1,883,014 : x
  2. Step 2: Convert to fraction form
    869,152/1,883,014 = 1,883,014/x
  3. Step 3: Cross multiply
    869,152x = 1,883,014 × 1,883,014
  4. Step 4: Simplify right side
    869,152x = 3,545,741,724,196
  5. Step 5: Solve for x
    x = 3,545,741,724,196/869,152
  6. Step 6: Final answer
    x = 4,079,541.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.