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Finding the Third Proportional to 705,106 and 1,374,788

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Solution

The third proportional to 705,106 and 1,374,788 is: 2,680,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,106 : 1,374,788 = 1,374,788 : x
  2. Step 2: Convert to fraction form
    705,106/1,374,788 = 1,374,788/x
  3. Step 3: Cross multiply
    705,106x = 1,374,788 × 1,374,788
  4. Step 4: Simplify right side
    705,106x = 1,890,042,044,944
  5. Step 5: Solve for x
    x = 1,890,042,044,944/705,106
  6. Step 6: Final answer
    x = 2,680,507.68

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.