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Finding the Third Proportional to 863,730 and 1,782,783

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Solution

The third proportional to 863,730 and 1,782,783 is: 3,679,755.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,730 : 1,782,783 = 1,782,783 : x
  2. Step 2: Convert to fraction form
    863,730/1,782,783 = 1,782,783/x
  3. Step 3: Cross multiply
    863,730x = 1,782,783 × 1,782,783
  4. Step 4: Simplify right side
    863,730x = 3,178,315,225,089
  5. Step 5: Solve for x
    x = 3,178,315,225,089/863,730
  6. Step 6: Final answer
    x = 3,679,755.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.