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Finding the Third Proportional to 814,359.45 and 1,736,927.93

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Solution

The third proportional to 814,359.45 and 1,736,927.93 is: 3,704,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,359.45 : 1,736,927.93 = 1,736,927.93 : x
  2. Step 2: Convert to fraction form
    814,359.45/1,736,927.93 = 1,736,927.93/x
  3. Step 3: Cross multiply
    814,359.45x = 1,736,927.93 × 1,736,927.93
  4. Step 4: Simplify right side
    814,359.45x = 3,016,918,632,928.51
  5. Step 5: Solve for x
    x = 3,016,918,632,928.51/814,359.45
  6. Step 6: Final answer
    x = 3,704,652.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.