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Finding the Third Proportional to 599,421 and 1,284,129

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Solution

The third proportional to 599,421 and 1,284,129 is: 2,750,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,421 : 1,284,129 = 1,284,129 : x
  2. Step 2: Convert to fraction form
    599,421/1,284,129 = 1,284,129/x
  3. Step 3: Cross multiply
    599,421x = 1,284,129 × 1,284,129
  4. Step 4: Simplify right side
    599,421x = 1,648,987,288,641
  5. Step 5: Solve for x
    x = 1,648,987,288,641/599,421
  6. Step 6: Final answer
    x = 2,750,966.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.