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Finding the Third Proportional to 832,212 and 1,253,106

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Solution

The third proportional to 832,212 and 1,253,106 is: 1,886,868.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,212 : 1,253,106 = 1,253,106 : x
  2. Step 2: Convert to fraction form
    832,212/1,253,106 = 1,253,106/x
  3. Step 3: Cross multiply
    832,212x = 1,253,106 × 1,253,106
  4. Step 4: Simplify right side
    832,212x = 1,570,274,647,236
  5. Step 5: Solve for x
    x = 1,570,274,647,236/832,212
  6. Step 6: Final answer
    x = 1,886,868.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.