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Finding the Third Proportional to 585,290.81 and 1,282,425.75

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Solution

The third proportional to 585,290.81 and 1,282,425.75 is: 2,809,912.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,290.81 : 1,282,425.75 = 1,282,425.75 : x
  2. Step 2: Convert to fraction form
    585,290.81/1,282,425.75 = 1,282,425.75/x
  3. Step 3: Cross multiply
    585,290.81x = 1,282,425.75 × 1,282,425.75
  4. Step 4: Simplify right side
    585,290.81x = 1,644,615,804,263.06
  5. Step 5: Solve for x
    x = 1,644,615,804,263.06/585,290.81
  6. Step 6: Final answer
    x = 2,809,912.22

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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.