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Finding the Third Proportional to 540,502 and 1,184,780

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Solution

The third proportional to 540,502 and 1,184,780 is: 2,597,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,502 : 1,184,780 = 1,184,780 : x
  2. Step 2: Convert to fraction form
    540,502/1,184,780 = 1,184,780/x
  3. Step 3: Cross multiply
    540,502x = 1,184,780 × 1,184,780
  4. Step 4: Simplify right side
    540,502x = 1,403,703,648,400
  5. Step 5: Solve for x
    x = 1,403,703,648,400/540,502
  6. Step 6: Final answer
    x = 2,597,036.92

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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.