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Finding the Third Proportional to 685,671 and 1,045,911.50

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Solution

The third proportional to 685,671 and 1,045,911.50 is: 1,595,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,671 : 1,045,911.50 = 1,045,911.50 : x
  2. Step 2: Convert to fraction form
    685,671/1,045,911.50 = 1,045,911.50/x
  3. Step 3: Cross multiply
    685,671x = 1,045,911.50 × 1,045,911.50
  4. Step 4: Simplify right side
    685,671x = 1,093,930,865,832.25
  5. Step 5: Solve for x
    x = 1,093,930,865,832.25/685,671
  6. Step 6: Final answer
    x = 1,595,416.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.