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Finding the Third Proportional to 846,742.50 and 1,826,433

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Solution

The third proportional to 846,742.50 and 1,826,433 is: 3,939,636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,742.50 : 1,826,433 = 1,826,433 : x
  2. Step 2: Convert to fraction form
    846,742.50/1,826,433 = 1,826,433/x
  3. Step 3: Cross multiply
    846,742.50x = 1,826,433 × 1,826,433
  4. Step 4: Simplify right side
    846,742.50x = 3,335,857,503,489
  5. Step 5: Solve for x
    x = 3,335,857,503,489/846,742.50
  6. Step 6: Final answer
    x = 3,939,636.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.