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Finding the Third Proportional to 777,543.75 and 1,217,104.50

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Solution

The third proportional to 777,543.75 and 1,217,104.50 is: 1,905,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,543.75 : 1,217,104.50 = 1,217,104.50 : x
  2. Step 2: Convert to fraction form
    777,543.75/1,217,104.50 = 1,217,104.50/x
  3. Step 3: Cross multiply
    777,543.75x = 1,217,104.50 × 1,217,104.50
  4. Step 4: Simplify right side
    777,543.75x = 1,481,343,363,920.25
  5. Step 5: Solve for x
    x = 1,481,343,363,920.25/777,543.75
  6. Step 6: Final answer
    x = 1,905,157.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.