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Finding the Third Proportional to 726,484 and 1,133,878

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Solution

The third proportional to 726,484 and 1,133,878 is: 1,769,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,484 : 1,133,878 = 1,133,878 : x
  2. Step 2: Convert to fraction form
    726,484/1,133,878 = 1,133,878/x
  3. Step 3: Cross multiply
    726,484x = 1,133,878 × 1,133,878
  4. Step 4: Simplify right side
    726,484x = 1,285,679,318,884
  5. Step 5: Solve for x
    x = 1,285,679,318,884/726,484
  6. Step 6: Final answer
    x = 1,769,728.33

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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.