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Finding the Third Proportional to 735,071.20 and 1,184,209.24

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Solution

The third proportional to 735,071.20 and 1,184,209.24 is: 1,907,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,071.20 : 1,184,209.24 = 1,184,209.24 : x
  2. Step 2: Convert to fraction form
    735,071.20/1,184,209.24 = 1,184,209.24/x
  3. Step 3: Cross multiply
    735,071.20x = 1,184,209.24 × 1,184,209.24
  4. Step 4: Simplify right side
    735,071.20x = 1,402,351,529,282.29
  5. Step 5: Solve for x
    x = 1,402,351,529,282.29/735,071.20
  6. Step 6: Final answer
    x = 1,907,776.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.