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Finding the Third Proportional to 573,650 and 1,184,164

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Solution

The third proportional to 573,650 and 1,184,164 is: 2,444,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,650 : 1,184,164 = 1,184,164 : x
  2. Step 2: Convert to fraction form
    573,650/1,184,164 = 1,184,164/x
  3. Step 3: Cross multiply
    573,650x = 1,184,164 × 1,184,164
  4. Step 4: Simplify right side
    573,650x = 1,402,244,378,896
  5. Step 5: Solve for x
    x = 1,402,244,378,896/573,650
  6. Step 6: Final answer
    x = 2,444,424.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.