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Finding the Third Proportional to 929,565 and 1,970,739

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Solution

The third proportional to 929,565 and 1,970,739 is: 4,178,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,565 : 1,970,739 = 1,970,739 : x
  2. Step 2: Convert to fraction form
    929,565/1,970,739 = 1,970,739/x
  3. Step 3: Cross multiply
    929,565x = 1,970,739 × 1,970,739
  4. Step 4: Simplify right side
    929,565x = 3,883,812,206,121
  5. Step 5: Solve for x
    x = 3,883,812,206,121/929,565
  6. Step 6: Final answer
    x = 4,178,096.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.