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Finding the Third Proportional to 765,105 and 1,585,479

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Solution

The third proportional to 765,105 and 1,585,479 is: 3,285,488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,105 : 1,585,479 = 1,585,479 : x
  2. Step 2: Convert to fraction form
    765,105/1,585,479 = 1,585,479/x
  3. Step 3: Cross multiply
    765,105x = 1,585,479 × 1,585,479
  4. Step 4: Simplify right side
    765,105x = 2,513,743,659,441
  5. Step 5: Solve for x
    x = 2,513,743,659,441/765,105
  6. Step 6: Final answer
    x = 3,285,488.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.