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Finding the Third Proportional to 786,260 and 1,178,154

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Solution

The third proportional to 786,260 and 1,178,154 is: 1,765,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,260 : 1,178,154 = 1,178,154 : x
  2. Step 2: Convert to fraction form
    786,260/1,178,154 = 1,178,154/x
  3. Step 3: Cross multiply
    786,260x = 1,178,154 × 1,178,154
  4. Step 4: Simplify right side
    786,260x = 1,388,046,847,716
  5. Step 5: Solve for x
    x = 1,388,046,847,716/786,260
  6. Step 6: Final answer
    x = 1,765,378.94

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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.