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Finding the Third Proportional to 826,436 and 1,276,106

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Solution

The third proportional to 826,436 and 1,276,106 is: 1,970,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,436 : 1,276,106 = 1,276,106 : x
  2. Step 2: Convert to fraction form
    826,436/1,276,106 = 1,276,106/x
  3. Step 3: Cross multiply
    826,436x = 1,276,106 × 1,276,106
  4. Step 4: Simplify right side
    826,436x = 1,628,446,523,236
  5. Step 5: Solve for x
    x = 1,628,446,523,236/826,436
  6. Step 6: Final answer
    x = 1,970,444.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.