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Finding the Third Proportional to 1,368,256 and 3,167,164

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Solution

The third proportional to 1,368,256 and 3,167,164 is: 7,331,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,256 : 3,167,164 = 3,167,164 : x
  2. Step 2: Convert to fraction form
    1,368,256/3,167,164 = 3,167,164/x
  3. Step 3: Cross multiply
    1,368,256x = 3,167,164 × 3,167,164
  4. Step 4: Simplify right side
    1,368,256x = 10,030,927,802,896
  5. Step 5: Solve for x
    x = 10,030,927,802,896/1,368,256
  6. Step 6: Final answer
    x = 7,331,177.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.