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Finding the Third Proportional to 677,160 and 1,514,736

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Solution

The third proportional to 677,160 and 1,514,736 is: 3,388,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,160 : 1,514,736 = 1,514,736 : x
  2. Step 2: Convert to fraction form
    677,160/1,514,736 = 1,514,736/x
  3. Step 3: Cross multiply
    677,160x = 1,514,736 × 1,514,736
  4. Step 4: Simplify right side
    677,160x = 2,294,425,149,696
  5. Step 5: Solve for x
    x = 2,294,425,149,696/677,160
  6. Step 6: Final answer
    x = 3,388,305.79

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.