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Finding the Third Proportional to 1,603,519.50 and 3,457,680

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Solution

The third proportional to 1,603,519.50 and 3,457,680 is: 7,455,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603,519.50 : 3,457,680 = 3,457,680 : x
  2. Step 2: Convert to fraction form
    1,603,519.50/3,457,680 = 3,457,680/x
  3. Step 3: Cross multiply
    1,603,519.50x = 3,457,680 × 3,457,680
  4. Step 4: Simplify right side
    1,603,519.50x = 11,955,550,982,400
  5. Step 5: Solve for x
    x = 11,955,550,982,400/1,603,519.50
  6. Step 6: Final answer
    x = 7,455,818.89

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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.