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Finding the Third Proportional to 712,568 and 1,483,896

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Solution

The third proportional to 712,568 and 1,483,896 is: 3,090,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,568 : 1,483,896 = 1,483,896 : x
  2. Step 2: Convert to fraction form
    712,568/1,483,896 = 1,483,896/x
  3. Step 3: Cross multiply
    712,568x = 1,483,896 × 1,483,896
  4. Step 4: Simplify right side
    712,568x = 2,201,947,338,816
  5. Step 5: Solve for x
    x = 2,201,947,338,816/712,568
  6. Step 6: Final answer
    x = 3,090,157.49

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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.