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Finding the Third Proportional to 726,482.25 and 1,133,875.13

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Solution

The third proportional to 726,482.25 and 1,133,875.13 is: 1,769,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,482.25 : 1,133,875.13 = 1,133,875.13 : x
  2. Step 2: Convert to fraction form
    726,482.25/1,133,875.13 = 1,133,875.13/x
  3. Step 3: Cross multiply
    726,482.25x = 1,133,875.13 × 1,133,875.13
  4. Step 4: Simplify right side
    726,482.25x = 1,285,672,799,093.77
  5. Step 5: Solve for x
    x = 1,285,672,799,093.77/726,482.25
  6. Step 6: Final answer
    x = 1,769,723.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.