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Finding the Third Proportional to 2,130,683 and 4,577,589

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Solution

The third proportional to 2,130,683 and 4,577,589 is: 9,834,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,683 : 4,577,589 = 4,577,589 : x
  2. Step 2: Convert to fraction form
    2,130,683/4,577,589 = 4,577,589/x
  3. Step 3: Cross multiply
    2,130,683x = 4,577,589 × 4,577,589
  4. Step 4: Simplify right side
    2,130,683x = 20,954,321,052,921
  5. Step 5: Solve for x
    x = 20,954,321,052,921/2,130,683
  6. Step 6: Final answer
    x = 9,834,555.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.