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Finding the Third Proportional to 877,086 and 1,889,523

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Solution

The third proportional to 877,086 and 1,889,523 is: 4,070,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,086 : 1,889,523 = 1,889,523 : x
  2. Step 2: Convert to fraction form
    877,086/1,889,523 = 1,889,523/x
  3. Step 3: Cross multiply
    877,086x = 1,889,523 × 1,889,523
  4. Step 4: Simplify right side
    877,086x = 3,570,297,167,529
  5. Step 5: Solve for x
    x = 3,570,297,167,529/877,086
  6. Step 6: Final answer
    x = 4,070,635.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.