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Finding the Third Proportional to 746,097 and 1,126,236

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Solution

The third proportional to 746,097 and 1,126,236 is: 1,700,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,097 : 1,126,236 = 1,126,236 : x
  2. Step 2: Convert to fraction form
    746,097/1,126,236 = 1,126,236/x
  3. Step 3: Cross multiply
    746,097x = 1,126,236 × 1,126,236
  4. Step 4: Simplify right side
    746,097x = 1,268,407,527,696
  5. Step 5: Solve for x
    x = 1,268,407,527,696/746,097
  6. Step 6: Final answer
    x = 1,700,057.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.