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Finding the Third Proportional to 539,860 and 1,249,799

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Solution

The third proportional to 539,860 and 1,249,799 is: 2,893,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,860 : 1,249,799 = 1,249,799 : x
  2. Step 2: Convert to fraction form
    539,860/1,249,799 = 1,249,799/x
  3. Step 3: Cross multiply
    539,860x = 1,249,799 × 1,249,799
  4. Step 4: Simplify right side
    539,860x = 1,561,997,540,401
  5. Step 5: Solve for x
    x = 1,561,997,540,401/539,860
  6. Step 6: Final answer
    x = 2,893,338.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.