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Finding the Third Proportional to 929,944 and 1,971,500

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Solution

The third proportional to 929,944 and 1,971,500 is: 4,179,619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,944 : 1,971,500 = 1,971,500 : x
  2. Step 2: Convert to fraction form
    929,944/1,971,500 = 1,971,500/x
  3. Step 3: Cross multiply
    929,944x = 1,971,500 × 1,971,500
  4. Step 4: Simplify right side
    929,944x = 3,886,812,250,000
  5. Step 5: Solve for x
    x = 3,886,812,250,000/929,944
  6. Step 6: Final answer
    x = 4,179,619.69

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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.