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Finding the Third Proportional to 874,971 and 1,810,632

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Solution

The third proportional to 874,971 and 1,810,632 is: 3,746,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,971 : 1,810,632 = 1,810,632 : x
  2. Step 2: Convert to fraction form
    874,971/1,810,632 = 1,810,632/x
  3. Step 3: Cross multiply
    874,971x = 1,810,632 × 1,810,632
  4. Step 4: Simplify right side
    874,971x = 3,278,388,239,424
  5. Step 5: Solve for x
    x = 3,278,388,239,424/874,971
  6. Step 6: Final answer
    x = 3,746,853.60

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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.