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Finding the Third Proportional to 834,084 and 1,821,076

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Solution

The third proportional to 834,084 and 1,821,076 is: 3,975,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,084 : 1,821,076 = 1,821,076 : x
  2. Step 2: Convert to fraction form
    834,084/1,821,076 = 1,821,076/x
  3. Step 3: Cross multiply
    834,084x = 1,821,076 × 1,821,076
  4. Step 4: Simplify right side
    834,084x = 3,316,317,797,776
  5. Step 5: Solve for x
    x = 3,316,317,797,776/834,084
  6. Step 6: Final answer
    x = 3,975,999.78

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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.