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Finding the Third Proportional to 382,862 and 841,783

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Solution

The third proportional to 382,862 and 841,783 is: 1,850,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,862 : 841,783 = 841,783 : x
  2. Step 2: Convert to fraction form
    382,862/841,783 = 841,783/x
  3. Step 3: Cross multiply
    382,862x = 841,783 × 841,783
  4. Step 4: Simplify right side
    382,862x = 708,598,619,089
  5. Step 5: Solve for x
    x = 708,598,619,089/382,862
  6. Step 6: Final answer
    x = 1,850,793.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.