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Finding the Third Proportional to 726,516 and 1,133,926

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Solution

The third proportional to 726,516 and 1,133,926 is: 1,769,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,516 : 1,133,926 = 1,133,926 : x
  2. Step 2: Convert to fraction form
    726,516/1,133,926 = 1,133,926/x
  3. Step 3: Cross multiply
    726,516x = 1,133,926 × 1,133,926
  4. Step 4: Simplify right side
    726,516x = 1,285,788,173,476
  5. Step 5: Solve for x
    x = 1,285,788,173,476/726,516
  6. Step 6: Final answer
    x = 1,769,800.22

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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.