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Finding the Third Proportional to 1,016,829.70 and 1,394,297.93

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Solution

The third proportional to 1,016,829.70 and 1,394,297.93 is: 1,911,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,829.70 : 1,394,297.93 = 1,394,297.93 : x
  2. Step 2: Convert to fraction form
    1,016,829.70/1,394,297.93 = 1,394,297.93/x
  3. Step 3: Cross multiply
    1,016,829.70x = 1,394,297.93 × 1,394,297.93
  4. Step 4: Simplify right side
    1,016,829.70x = 1,944,066,716,730.85
  5. Step 5: Solve for x
    x = 1,944,066,716,730.85/1,016,829.70
  6. Step 6: Final answer
    x = 1,911,890.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.