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Finding the Third Proportional to 654,672 and 1,412,640

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Solution

The third proportional to 654,672 and 1,412,640 is: 3,048,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,672 : 1,412,640 = 1,412,640 : x
  2. Step 2: Convert to fraction form
    654,672/1,412,640 = 1,412,640/x
  3. Step 3: Cross multiply
    654,672x = 1,412,640 × 1,412,640
  4. Step 4: Simplify right side
    654,672x = 1,995,551,769,600
  5. Step 5: Solve for x
    x = 1,995,551,769,600/654,672
  6. Step 6: Final answer
    x = 3,048,170.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.