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Finding the Third Proportional to 802,997.63 and 1,738,306.88

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Solution

The third proportional to 802,997.63 and 1,738,306.88 is: 3,763,038.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,997.63 : 1,738,306.88 = 1,738,306.88 : x
  2. Step 2: Convert to fraction form
    802,997.63/1,738,306.88 = 1,738,306.88/x
  3. Step 3: Cross multiply
    802,997.63x = 1,738,306.88 × 1,738,306.88
  4. Step 4: Simplify right side
    802,997.63x = 3,021,710,791,672.27
  5. Step 5: Solve for x
    x = 3,021,710,791,672.27/802,997.63
  6. Step 6: Final answer
    x = 3,763,038.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.