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Finding the Third Proportional to 814,288.50 and 1,762,612.50

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Solution

The third proportional to 814,288.50 and 1,762,612.50 is: 3,815,358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,288.50 : 1,762,612.50 = 1,762,612.50 : x
  2. Step 2: Convert to fraction form
    814,288.50/1,762,612.50 = 1,762,612.50/x
  3. Step 3: Cross multiply
    814,288.50x = 1,762,612.50 × 1,762,612.50
  4. Step 4: Simplify right side
    814,288.50x = 3,106,802,825,156.25
  5. Step 5: Solve for x
    x = 3,106,802,825,156.25/814,288.50
  6. Step 6: Final answer
    x = 3,815,358.84

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