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Finding the Third Proportional to 540,399 and 1,164,303

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Solution

The third proportional to 540,399 and 1,164,303 is: 2,508,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,399 : 1,164,303 = 1,164,303 : x
  2. Step 2: Convert to fraction form
    540,399/1,164,303 = 1,164,303/x
  3. Step 3: Cross multiply
    540,399x = 1,164,303 × 1,164,303
  4. Step 4: Simplify right side
    540,399x = 1,355,601,475,809
  5. Step 5: Solve for x
    x = 1,355,601,475,809/540,399
  6. Step 6: Final answer
    x = 2,508,519.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.