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Finding the Third Proportional to 643,581 and 874,054.69

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Solution

The third proportional to 643,581 and 874,054.69 is: 1,187,063.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,581 : 874,054.69 = 874,054.69 : x
  2. Step 2: Convert to fraction form
    643,581/874,054.69 = 874,054.69/x
  3. Step 3: Cross multiply
    643,581x = 874,054.69 × 874,054.69
  4. Step 4: Simplify right side
    643,581x = 763,971,596,740.72
  5. Step 5: Solve for x
    x = 763,971,596,740.72/643,581
  6. Step 6: Final answer
    x = 1,187,063.63

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.