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Finding the Third Proportional to 787,066 and 1,186,145

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Solution

The third proportional to 787,066 and 1,186,145 is: 1,787,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,066 : 1,186,145 = 1,186,145 : x
  2. Step 2: Convert to fraction form
    787,066/1,186,145 = 1,186,145/x
  3. Step 3: Cross multiply
    787,066x = 1,186,145 × 1,186,145
  4. Step 4: Simplify right side
    787,066x = 1,406,939,961,025
  5. Step 5: Solve for x
    x = 1,406,939,961,025/787,066
  6. Step 6: Final answer
    x = 1,787,575.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.