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Finding the Third Proportional to 540,480 and 1,184,736

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Solution

The third proportional to 540,480 and 1,184,736 is: 2,596,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,480 : 1,184,736 = 1,184,736 : x
  2. Step 2: Convert to fraction form
    540,480/1,184,736 = 1,184,736/x
  3. Step 3: Cross multiply
    540,480x = 1,184,736 × 1,184,736
  4. Step 4: Simplify right side
    540,480x = 1,403,599,389,696
  5. Step 5: Solve for x
    x = 1,403,599,389,696/540,480
  6. Step 6: Final answer
    x = 2,596,949.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.