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Finding the Third Proportional to 1,585,991 and 2,379,473

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Solution

The third proportional to 1,585,991 and 2,379,473 is: 3,569,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,991 : 2,379,473 = 2,379,473 : x
  2. Step 2: Convert to fraction form
    1,585,991/2,379,473 = 2,379,473/x
  3. Step 3: Cross multiply
    1,585,991x = 2,379,473 × 2,379,473
  4. Step 4: Simplify right side
    1,585,991x = 5,661,891,757,729
  5. Step 5: Solve for x
    x = 5,661,891,757,729/1,585,991
  6. Step 6: Final answer
    x = 3,569,939.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.