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Finding the Third Proportional to 786,262 and 1,178,157

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Solution

The third proportional to 786,262 and 1,178,157 is: 1,765,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,262 : 1,178,157 = 1,178,157 : x
  2. Step 2: Convert to fraction form
    786,262/1,178,157 = 1,178,157/x
  3. Step 3: Cross multiply
    786,262x = 1,178,157 × 1,178,157
  4. Step 4: Simplify right side
    786,262x = 1,388,053,916,649
  5. Step 5: Solve for x
    x = 1,388,053,916,649/786,262
  6. Step 6: Final answer
    x = 1,765,383.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.