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Finding the Third Proportional to 833,769 and 1,820,079

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Solution

The third proportional to 833,769 and 1,820,079 is: 3,973,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,769 : 1,820,079 = 1,820,079 : x
  2. Step 2: Convert to fraction form
    833,769/1,820,079 = 1,820,079/x
  3. Step 3: Cross multiply
    833,769x = 1,820,079 × 1,820,079
  4. Step 4: Simplify right side
    833,769x = 3,312,687,566,241
  5. Step 5: Solve for x
    x = 3,312,687,566,241/833,769
  6. Step 6: Final answer
    x = 3,973,147.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.