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Finding the Third Proportional to 772,709.63 and 1,182,012.75

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Solution

The third proportional to 772,709.63 and 1,182,012.75 is: 1,808,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,709.63 : 1,182,012.75 = 1,182,012.75 : x
  2. Step 2: Convert to fraction form
    772,709.63/1,182,012.75 = 1,182,012.75/x
  3. Step 3: Cross multiply
    772,709.63x = 1,182,012.75 × 1,182,012.75
  4. Step 4: Simplify right side
    772,709.63x = 1,397,154,141,162.56
  5. Step 5: Solve for x
    x = 1,397,154,141,162.56/772,709.63
  6. Step 6: Final answer
    x = 1,808,123.12

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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.