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Finding the Third Proportional to 1,123,532 and 1,589,764

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Solution

The third proportional to 1,123,532 and 1,589,764 is: 2,249,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123,532 : 1,589,764 = 1,589,764 : x
  2. Step 2: Convert to fraction form
    1,123,532/1,589,764 = 1,589,764/x
  3. Step 3: Cross multiply
    1,123,532x = 1,589,764 × 1,589,764
  4. Step 4: Simplify right side
    1,123,532x = 2,527,349,575,696
  5. Step 5: Solve for x
    x = 2,527,349,575,696/1,123,532
  6. Step 6: Final answer
    x = 2,249,468.26

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.