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Finding the Third Proportional to 2,130,706 and 4,577,636

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Solution

The third proportional to 2,130,706 and 4,577,636 is: 9,834,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,706 : 4,577,636 = 4,577,636 : x
  2. Step 2: Convert to fraction form
    2,130,706/4,577,636 = 4,577,636/x
  3. Step 3: Cross multiply
    2,130,706x = 4,577,636 × 4,577,636
  4. Step 4: Simplify right side
    2,130,706x = 20,954,751,348,496
  5. Step 5: Solve for x
    x = 20,954,751,348,496/2,130,706
  6. Step 6: Final answer
    x = 9,834,651.68

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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.