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Finding the Third Proportional to 745,944 and 1,157,148

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Solution

The third proportional to 745,944 and 1,157,148 is: 1,795,029.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,944 : 1,157,148 = 1,157,148 : x
  2. Step 2: Convert to fraction form
    745,944/1,157,148 = 1,157,148/x
  3. Step 3: Cross multiply
    745,944x = 1,157,148 × 1,157,148
  4. Step 4: Simplify right side
    745,944x = 1,338,991,493,904
  5. Step 5: Solve for x
    x = 1,338,991,493,904/745,944
  6. Step 6: Final answer
    x = 1,795,029.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.