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Finding the Third Proportional to 467,106 and 1,021,458

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Solution

The third proportional to 467,106 and 1,021,458 is: 2,233,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,106 : 1,021,458 = 1,021,458 : x
  2. Step 2: Convert to fraction form
    467,106/1,021,458 = 1,021,458/x
  3. Step 3: Cross multiply
    467,106x = 1,021,458 × 1,021,458
  4. Step 4: Simplify right side
    467,106x = 1,043,376,445,764
  5. Step 5: Solve for x
    x = 1,043,376,445,764/467,106
  6. Step 6: Final answer
    x = 2,233,703.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.