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Finding the Third Proportional to 654,723 and 982,985.63

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Solution

The third proportional to 654,723 and 982,985.63 is: 1,475,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,723 : 982,985.63 = 982,985.63 : x
  2. Step 2: Convert to fraction form
    654,723/982,985.63 = 982,985.63/x
  3. Step 3: Cross multiply
    654,723x = 982,985.63 × 982,985.63
  4. Step 4: Simplify right side
    654,723x = 966,260,738,956.64
  5. Step 5: Solve for x
    x = 966,260,738,956.64/654,723
  6. Step 6: Final answer
    x = 1,475,831.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.