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Finding the Third Proportional to 762,116 and 1,121,142

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Solution

The third proportional to 762,116 and 1,121,142 is: 1,649,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,116 : 1,121,142 = 1,121,142 : x
  2. Step 2: Convert to fraction form
    762,116/1,121,142 = 1,121,142/x
  3. Step 3: Cross multiply
    762,116x = 1,121,142 × 1,121,142
  4. Step 4: Simplify right side
    762,116x = 1,256,959,384,164
  5. Step 5: Solve for x
    x = 1,256,959,384,164/762,116
  6. Step 6: Final answer
    x = 1,649,301.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.