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Finding the Third Proportional to 540,500 and 1,184,776

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Solution

The third proportional to 540,500 and 1,184,776 is: 2,597,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,500 : 1,184,776 = 1,184,776 : x
  2. Step 2: Convert to fraction form
    540,500/1,184,776 = 1,184,776/x
  3. Step 3: Cross multiply
    540,500x = 1,184,776 × 1,184,776
  4. Step 4: Simplify right side
    540,500x = 1,403,694,170,176
  5. Step 5: Solve for x
    x = 1,403,694,170,176/540,500
  6. Step 6: Final answer
    x = 2,597,028.99

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Why These Related Problems?

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