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Finding the Third Proportional to 3,112,651.50 and 4,763,419.50

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Solution

The third proportional to 3,112,651.50 and 4,763,419.50 is: 7,289,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112,651.50 : 4,763,419.50 = 4,763,419.50 : x
  2. Step 2: Convert to fraction form
    3,112,651.50/4,763,419.50 = 4,763,419.50/x
  3. Step 3: Cross multiply
    3,112,651.50x = 4,763,419.50 × 4,763,419.50
  4. Step 4: Simplify right side
    3,112,651.50x = 22,690,165,332,980.25
  5. Step 5: Solve for x
    x = 22,690,165,332,980.25/3,112,651.50
  6. Step 6: Final answer
    x = 7,289,658.14

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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.