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Finding the Third Proportional to 731,059.17 and 1,630,211.70

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Solution

The third proportional to 731,059.17 and 1,630,211.70 is: 3,635,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,059.17 : 1,630,211.70 = 1,630,211.70 : x
  2. Step 2: Convert to fraction form
    731,059.17/1,630,211.70 = 1,630,211.70/x
  3. Step 3: Cross multiply
    731,059.17x = 1,630,211.70 × 1,630,211.70
  4. Step 4: Simplify right side
    731,059.17x = 2,657,590,171,533.66
  5. Step 5: Solve for x
    x = 2,657,590,171,533.66/731,059.17
  6. Step 6: Final answer
    x = 3,635,260.01

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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.