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Finding the Third Proportional to 599,412 and 1,275,120

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Solution

The third proportional to 599,412 and 1,275,120 is: 2,712,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,412 : 1,275,120 = 1,275,120 : x
  2. Step 2: Convert to fraction form
    599,412/1,275,120 = 1,275,120/x
  3. Step 3: Cross multiply
    599,412x = 1,275,120 × 1,275,120
  4. Step 4: Simplify right side
    599,412x = 1,625,931,014,400
  5. Step 5: Solve for x
    x = 1,625,931,014,400/599,412
  6. Step 6: Final answer
    x = 2,712,543.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.