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Finding the Third Proportional to 964,336.31 and 1,313,471.06

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Solution

The third proportional to 964,336.31 and 1,313,471.06 is: 1,789,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,336.31 : 1,313,471.06 = 1,313,471.06 : x
  2. Step 2: Convert to fraction form
    964,336.31/1,313,471.06 = 1,313,471.06/x
  3. Step 3: Cross multiply
    964,336.31x = 1,313,471.06 × 1,313,471.06
  4. Step 4: Simplify right side
    964,336.31x = 1,725,206,232,024.88
  5. Step 5: Solve for x
    x = 1,725,206,232,024.88/964,336.31
  6. Step 6: Final answer
    x = 1,789,008.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.