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Finding the Third Proportional to 3,800,971.83 and 5,890,394.04

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Solution

The third proportional to 3,800,971.83 and 5,890,394.04 is: 9,128,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800,971.83 : 5,890,394.04 = 5,890,394.04 : x
  2. Step 2: Convert to fraction form
    3,800,971.83/5,890,394.04 = 5,890,394.04/x
  3. Step 3: Cross multiply
    3,800,971.83x = 5,890,394.04 × 5,890,394.04
  4. Step 4: Simplify right side
    3,800,971.83x = 34,696,741,935,423.03
  5. Step 5: Solve for x
    x = 34,696,741,935,423.03/3,800,971.83
  6. Step 6: Final answer
    x = 9,128,387.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.