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Finding the Third Proportional to 772,725.75 and 1,182,035.63

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Solution

The third proportional to 772,725.75 and 1,182,035.63 is: 1,808,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,725.75 : 1,182,035.63 = 1,182,035.63 : x
  2. Step 2: Convert to fraction form
    772,725.75/1,182,035.63 = 1,182,035.63/x
  3. Step 3: Cross multiply
    772,725.75x = 1,182,035.63 × 1,182,035.63
  4. Step 4: Simplify right side
    772,725.75x = 1,397,208,218,769.14
  5. Step 5: Solve for x
    x = 1,397,208,218,769.14/772,725.75
  6. Step 6: Final answer
    x = 1,808,155.38

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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.