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Finding the Third Proportional to 774,632 and 1,184,243

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Solution

The third proportional to 774,632 and 1,184,243 is: 1,810,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,632 : 1,184,243 = 1,184,243 : x
  2. Step 2: Convert to fraction form
    774,632/1,184,243 = 1,184,243/x
  3. Step 3: Cross multiply
    774,632x = 1,184,243 × 1,184,243
  4. Step 4: Simplify right side
    774,632x = 1,402,431,483,049
  5. Step 5: Solve for x
    x = 1,402,431,483,049/774,632
  6. Step 6: Final answer
    x = 1,810,448.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.