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Finding the Third Proportional to 573,648 and 1,184,160

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Solution

The third proportional to 573,648 and 1,184,160 is: 2,444,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,648 : 1,184,160 = 1,184,160 : x
  2. Step 2: Convert to fraction form
    573,648/1,184,160 = 1,184,160/x
  3. Step 3: Cross multiply
    573,648x = 1,184,160 × 1,184,160
  4. Step 4: Simplify right side
    573,648x = 1,402,234,905,600
  5. Step 5: Solve for x
    x = 1,402,234,905,600/573,648
  6. Step 6: Final answer
    x = 2,444,416.97

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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.