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Finding the Third Proportional to 471,472 and 970,160

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Solution

The third proportional to 471,472 and 970,160 is: 1,996,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,472 : 970,160 = 970,160 : x
  2. Step 2: Convert to fraction form
    471,472/970,160 = 970,160/x
  3. Step 3: Cross multiply
    471,472x = 970,160 × 970,160
  4. Step 4: Simplify right side
    471,472x = 941,210,425,600
  5. Step 5: Solve for x
    x = 941,210,425,600/471,472
  6. Step 6: Final answer
    x = 1,996,323.06

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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.