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Finding the Third Proportional to 837,084.38 and 1,816,869.38

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Solution

The third proportional to 837,084.38 and 1,816,869.38 is: 3,943,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,084.38 : 1,816,869.38 = 1,816,869.38 : x
  2. Step 2: Convert to fraction form
    837,084.38/1,816,869.38 = 1,816,869.38/x
  3. Step 3: Cross multiply
    837,084.38x = 1,816,869.38 × 1,816,869.38
  4. Step 4: Simplify right side
    837,084.38x = 3,301,014,325,812.89
  5. Step 5: Solve for x
    x = 3,301,014,325,812.89/837,084.38
  6. Step 6: Final answer
    x = 3,943,466.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.