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Finding the Third Proportional to 814,424.63 and 1,070,976.94

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Solution

The third proportional to 814,424.63 and 1,070,976.94 is: 1,408,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,424.63 : 1,070,976.94 = 1,070,976.94 : x
  2. Step 2: Convert to fraction form
    814,424.63/1,070,976.94 = 1,070,976.94/x
  3. Step 3: Cross multiply
    814,424.63x = 1,070,976.94 × 1,070,976.94
  4. Step 4: Simplify right side
    814,424.63x = 1,146,991,600,656.88
  5. Step 5: Solve for x
    x = 1,146,991,600,656.88/814,424.63
  6. Step 6: Final answer
    x = 1,408,345.92

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.