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Finding the Third Proportional to 540,504 and 1,184,784

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Solution

The third proportional to 540,504 and 1,184,784 is: 2,597,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,504 : 1,184,784 = 1,184,784 : x
  2. Step 2: Convert to fraction form
    540,504/1,184,784 = 1,184,784/x
  3. Step 3: Cross multiply
    540,504x = 1,184,784 × 1,184,784
  4. Step 4: Simplify right side
    540,504x = 1,403,713,126,656
  5. Step 5: Solve for x
    x = 1,403,713,126,656/540,504
  6. Step 6: Final answer
    x = 2,597,044.84

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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.