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Finding the Third Proportional to 794,148 and 1,712,712

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Solution

The third proportional to 794,148 and 1,712,712 is: 3,693,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,148 : 1,712,712 = 1,712,712 : x
  2. Step 2: Convert to fraction form
    794,148/1,712,712 = 1,712,712/x
  3. Step 3: Cross multiply
    794,148x = 1,712,712 × 1,712,712
  4. Step 4: Simplify right side
    794,148x = 2,933,382,394,944
  5. Step 5: Solve for x
    x = 2,933,382,394,944/794,148
  6. Step 6: Final answer
    x = 3,693,747.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.