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Finding the Third Proportional to 731,057 and 1,630,206

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Solution

The third proportional to 731,057 and 1,630,206 is: 3,635,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,057 : 1,630,206 = 1,630,206 : x
  2. Step 2: Convert to fraction form
    731,057/1,630,206 = 1,630,206/x
  3. Step 3: Cross multiply
    731,057x = 1,630,206 × 1,630,206
  4. Step 4: Simplify right side
    731,057x = 2,657,571,602,436
  5. Step 5: Solve for x
    x = 2,657,571,602,436/731,057
  6. Step 6: Final answer
    x = 3,635,245.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.