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Finding the Third Proportional to 743,990 and 1,585,310

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Solution

The third proportional to 743,990 and 1,585,310 is: 3,378,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,990 : 1,585,310 = 1,585,310 : x
  2. Step 2: Convert to fraction form
    743,990/1,585,310 = 1,585,310/x
  3. Step 3: Cross multiply
    743,990x = 1,585,310 × 1,585,310
  4. Step 4: Simplify right side
    743,990x = 2,513,207,796,100
  5. Step 5: Solve for x
    x = 2,513,207,796,100/743,990
  6. Step 6: Final answer
    x = 3,378,012.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.