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Finding the Third Proportional to 787,920.75 and 1,536,475.50

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Solution

The third proportional to 787,920.75 and 1,536,475.50 is: 2,996,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,920.75 : 1,536,475.50 = 1,536,475.50 : x
  2. Step 2: Convert to fraction form
    787,920.75/1,536,475.50 = 1,536,475.50/x
  3. Step 3: Cross multiply
    787,920.75x = 1,536,475.50 × 1,536,475.50
  4. Step 4: Simplify right side
    787,920.75x = 2,360,756,962,100.25
  5. Step 5: Solve for x
    x = 2,360,756,962,100.25/787,920.75
  6. Step 6: Final answer
    x = 2,996,185.80

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.