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Finding the Third Proportional to 1,784,806.31 and 3,479,945.63

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Solution

The third proportional to 1,784,806.31 and 3,479,945.63 is: 6,785,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,806.31 : 3,479,945.63 = 3,479,945.63 : x
  2. Step 2: Convert to fraction form
    1,784,806.31/3,479,945.63 = 3,479,945.63/x
  3. Step 3: Cross multiply
    1,784,806.31x = 3,479,945.63 × 3,479,945.63
  4. Step 4: Simplify right side
    1,784,806.31x = 12,110,021,552,956.64
  5. Step 5: Solve for x
    x = 12,110,021,552,956.64/1,784,806.31
  6. Step 6: Final answer
    x = 6,785,062.04

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.