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Finding the Third Proportional to 841,224 and 1,306,212

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Solution

The third proportional to 841,224 and 1,306,212 is: 2,028,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,224 : 1,306,212 = 1,306,212 : x
  2. Step 2: Convert to fraction form
    841,224/1,306,212 = 1,306,212/x
  3. Step 3: Cross multiply
    841,224x = 1,306,212 × 1,306,212
  4. Step 4: Simplify right side
    841,224x = 1,706,189,788,944
  5. Step 5: Solve for x
    x = 1,706,189,788,944/841,224
  6. Step 6: Final answer
    x = 2,028,222.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.