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Finding the Third Proportional to 585,019 and 1,265,987

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Solution

The third proportional to 585,019 and 1,265,987 is: 2,739,608.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,019 : 1,265,987 = 1,265,987 : x
  2. Step 2: Convert to fraction form
    585,019/1,265,987 = 1,265,987/x
  3. Step 3: Cross multiply
    585,019x = 1,265,987 × 1,265,987
  4. Step 4: Simplify right side
    585,019x = 1,602,723,084,169
  5. Step 5: Solve for x
    x = 1,602,723,084,169/585,019
  6. Step 6: Final answer
    x = 2,739,608.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.