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Finding the Third Proportional to 589,841 and 1,290,069

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Solution

The third proportional to 589,841 and 1,290,069 is: 2,821,570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,841 : 1,290,069 = 1,290,069 : x
  2. Step 2: Convert to fraction form
    589,841/1,290,069 = 1,290,069/x
  3. Step 3: Cross multiply
    589,841x = 1,290,069 × 1,290,069
  4. Step 4: Simplify right side
    589,841x = 1,664,278,024,761
  5. Step 5: Solve for x
    x = 1,664,278,024,761/589,841
  6. Step 6: Final answer
    x = 2,821,570.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.