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Finding the Third Proportional to 756,783 and 1,059,723

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Solution

The third proportional to 756,783 and 1,059,723 is: 1,483,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,783 : 1,059,723 = 1,059,723 : x
  2. Step 2: Convert to fraction form
    756,783/1,059,723 = 1,059,723/x
  3. Step 3: Cross multiply
    756,783x = 1,059,723 × 1,059,723
  4. Step 4: Simplify right side
    756,783x = 1,123,012,836,729
  5. Step 5: Solve for x
    x = 1,123,012,836,729/756,783
  6. Step 6: Final answer
    x = 1,483,929.79

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.