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Finding the Third Proportional to 772,770.38 and 1,182,164.63

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Solution

The third proportional to 772,770.38 and 1,182,164.63 is: 1,808,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,770.38 : 1,182,164.63 = 1,182,164.63 : x
  2. Step 2: Convert to fraction form
    772,770.38/1,182,164.63 = 1,182,164.63/x
  3. Step 3: Cross multiply
    772,770.38x = 1,182,164.63 × 1,182,164.63
  4. Step 4: Simplify right side
    772,770.38x = 1,397,513,200,601.39
  5. Step 5: Solve for x
    x = 1,397,513,200,601.39/772,770.38
  6. Step 6: Final answer
    x = 1,808,445.62

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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.