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Finding the Third Proportional to 1,249,821 and 2,725,425

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Solution

The third proportional to 1,249,821 and 2,725,425 is: 5,943,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,821 : 2,725,425 = 2,725,425 : x
  2. Step 2: Convert to fraction form
    1,249,821/2,725,425 = 2,725,425/x
  3. Step 3: Cross multiply
    1,249,821x = 2,725,425 × 2,725,425
  4. Step 4: Simplify right side
    1,249,821x = 7,427,941,430,625
  5. Step 5: Solve for x
    x = 7,427,941,430,625/1,249,821
  6. Step 6: Final answer
    x = 5,943,204.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.