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Finding the Third Proportional to 677,106 and 1,514,628

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Solution

The third proportional to 677,106 and 1,514,628 is: 3,388,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,106 : 1,514,628 = 1,514,628 : x
  2. Step 2: Convert to fraction form
    677,106/1,514,628 = 1,514,628/x
  3. Step 3: Cross multiply
    677,106x = 1,514,628 × 1,514,628
  4. Step 4: Simplify right side
    677,106x = 2,294,097,978,384
  5. Step 5: Solve for x
    x = 2,294,097,978,384/677,106
  6. Step 6: Final answer
    x = 3,388,092.82

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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.