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Finding the Third Proportional to 762,384 and 1,118,112

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Solution

The third proportional to 762,384 and 1,118,112 is: 1,639,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,384 : 1,118,112 = 1,118,112 : x
  2. Step 2: Convert to fraction form
    762,384/1,118,112 = 1,118,112/x
  3. Step 3: Cross multiply
    762,384x = 1,118,112 × 1,118,112
  4. Step 4: Simplify right side
    762,384x = 1,250,174,444,544
  5. Step 5: Solve for x
    x = 1,250,174,444,544/762,384
  6. Step 6: Final answer
    x = 1,639,822.51

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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.