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Finding the Third Proportional to 589,434 and 1,286,808

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Solution

The third proportional to 589,434 and 1,286,808 is: 2,809,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,434 : 1,286,808 = 1,286,808 : x
  2. Step 2: Convert to fraction form
    589,434/1,286,808 = 1,286,808/x
  3. Step 3: Cross multiply
    589,434x = 1,286,808 × 1,286,808
  4. Step 4: Simplify right side
    589,434x = 1,655,874,828,864
  5. Step 5: Solve for x
    x = 1,655,874,828,864/589,434
  6. Step 6: Final answer
    x = 2,809,262.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.