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Finding the Third Proportional to 425,811 and 927,222

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Solution

The third proportional to 425,811 and 927,222 is: 2,019,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,811 : 927,222 = 927,222 : x
  2. Step 2: Convert to fraction form
    425,811/927,222 = 927,222/x
  3. Step 3: Cross multiply
    425,811x = 927,222 × 927,222
  4. Step 4: Simplify right side
    425,811x = 859,740,637,284
  5. Step 5: Solve for x
    x = 859,740,637,284/425,811
  6. Step 6: Final answer
    x = 2,019,066.29

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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.