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Finding the Third Proportional to 930,912 and 2,027,712

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Solution

The third proportional to 930,912 and 2,027,712 is: 4,416,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,912 : 2,027,712 = 2,027,712 : x
  2. Step 2: Convert to fraction form
    930,912/2,027,712 = 2,027,712/x
  3. Step 3: Cross multiply
    930,912x = 2,027,712 × 2,027,712
  4. Step 4: Simplify right side
    930,912x = 4,111,615,954,944
  5. Step 5: Solve for x
    x = 4,111,615,954,944/930,912
  6. Step 6: Final answer
    x = 4,416,761.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.