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Finding the Third Proportional to 874,850 and 1,819,501

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Solution

The third proportional to 874,850 and 1,819,501 is: 3,784,173.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,850 : 1,819,501 = 1,819,501 : x
  2. Step 2: Convert to fraction form
    874,850/1,819,501 = 1,819,501/x
  3. Step 3: Cross multiply
    874,850x = 1,819,501 × 1,819,501
  4. Step 4: Simplify right side
    874,850x = 3,310,583,889,001
  5. Step 5: Solve for x
    x = 3,310,583,889,001/874,850
  6. Step 6: Final answer
    x = 3,784,173.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.