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Finding the Third Proportional to 705,108 and 1,074,187

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Solution

The third proportional to 705,108 and 1,074,187 is: 1,636,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,108 : 1,074,187 = 1,074,187 : x
  2. Step 2: Convert to fraction form
    705,108/1,074,187 = 1,074,187/x
  3. Step 3: Cross multiply
    705,108x = 1,074,187 × 1,074,187
  4. Step 4: Simplify right side
    705,108x = 1,153,877,710,969
  5. Step 5: Solve for x
    x = 1,153,877,710,969/705,108
  6. Step 6: Final answer
    x = 1,636,455.28

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.