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Finding the Third Proportional to 778,112 and 1,167,168

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Solution

The third proportional to 778,112 and 1,167,168 is: 1,750,752

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,112 : 1,167,168 = 1,167,168 : x
  2. Step 2: Convert to fraction form
    778,112/1,167,168 = 1,167,168/x
  3. Step 3: Cross multiply
    778,112x = 1,167,168 × 1,167,168
  4. Step 4: Simplify right side
    778,112x = 1,362,281,140,224
  5. Step 5: Solve for x
    x = 1,362,281,140,224/778,112
  6. Step 6: Final answer
    x = 1,750,752

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