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Finding the Third Proportional to 759,182 and 1,164,147.50

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Solution

The third proportional to 759,182 and 1,164,147.50 is: 1,785,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,182 : 1,164,147.50 = 1,164,147.50 : x
  2. Step 2: Convert to fraction form
    759,182/1,164,147.50 = 1,164,147.50/x
  3. Step 3: Cross multiply
    759,182x = 1,164,147.50 × 1,164,147.50
  4. Step 4: Simplify right side
    759,182x = 1,355,239,401,756.25
  5. Step 5: Solve for x
    x = 1,355,239,401,756.25/759,182
  6. Step 6: Final answer
    x = 1,785,131.10

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