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Finding the Third Proportional to 770,526.75 and 1,227,141

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Solution

The third proportional to 770,526.75 and 1,227,141 is: 1,954,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,526.75 : 1,227,141 = 1,227,141 : x
  2. Step 2: Convert to fraction form
    770,526.75/1,227,141 = 1,227,141/x
  3. Step 3: Cross multiply
    770,526.75x = 1,227,141 × 1,227,141
  4. Step 4: Simplify right side
    770,526.75x = 1,505,875,033,881
  5. Step 5: Solve for x
    x = 1,505,875,033,881/770,526.75
  6. Step 6: Final answer
    x = 1,954,344.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.