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Finding the Third Proportional to 654,187 and 1,386,064

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Solution

The third proportional to 654,187 and 1,386,064 is: 2,936,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,187 : 1,386,064 = 1,386,064 : x
  2. Step 2: Convert to fraction form
    654,187/1,386,064 = 1,386,064/x
  3. Step 3: Cross multiply
    654,187x = 1,386,064 × 1,386,064
  4. Step 4: Simplify right side
    654,187x = 1,921,173,412,096
  5. Step 5: Solve for x
    x = 1,921,173,412,096/654,187
  6. Step 6: Final answer
    x = 2,936,734.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.