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Finding the Third Proportional to 1,214,473.50 and 1,782,334.13

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Solution

The third proportional to 1,214,473.50 and 1,782,334.13 is: 2,615,713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,473.50 : 1,782,334.13 = 1,782,334.13 : x
  2. Step 2: Convert to fraction form
    1,214,473.50/1,782,334.13 = 1,782,334.13/x
  3. Step 3: Cross multiply
    1,214,473.50x = 1,782,334.13 × 1,782,334.13
  4. Step 4: Simplify right side
    1,214,473.50x = 3,176,714,933,139.52
  5. Step 5: Solve for x
    x = 3,176,714,933,139.52/1,214,473.50
  6. Step 6: Final answer
    x = 2,615,713.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.