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Finding the Third Proportional to 869,958 and 1,844,364

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Solution

The third proportional to 869,958 and 1,844,364 is: 3,910,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,958 : 1,844,364 = 1,844,364 : x
  2. Step 2: Convert to fraction form
    869,958/1,844,364 = 1,844,364/x
  3. Step 3: Cross multiply
    869,958x = 1,844,364 × 1,844,364
  4. Step 4: Simplify right side
    869,958x = 3,401,678,564,496
  5. Step 5: Solve for x
    x = 3,401,678,564,496/869,958
  6. Step 6: Final answer
    x = 3,910,164.13

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.