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Finding the Third Proportional to 475,782.19 and 1,046,196.56

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Solution

The third proportional to 475,782.19 and 1,046,196.56 is: 2,300,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,782.19 : 1,046,196.56 = 1,046,196.56 : x
  2. Step 2: Convert to fraction form
    475,782.19/1,046,196.56 = 1,046,196.56/x
  3. Step 3: Cross multiply
    475,782.19x = 1,046,196.56 × 1,046,196.56
  4. Step 4: Simplify right side
    475,782.19x = 1,094,527,247,386.82
  5. Step 5: Solve for x
    x = 1,094,527,247,386.82/475,782.19
  6. Step 6: Final answer
    x = 2,300,479.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.