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Finding the Third Proportional to 770,527.13 and 1,227,142.13

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Solution

The third proportional to 770,527.13 and 1,227,142.13 is: 1,954,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,527.13 : 1,227,142.13 = 1,227,142.13 : x
  2. Step 2: Convert to fraction form
    770,527.13/1,227,142.13 = 1,227,142.13/x
  3. Step 3: Cross multiply
    770,527.13x = 1,227,142.13 × 1,227,142.13
  4. Step 4: Simplify right side
    770,527.13x = 1,505,877,794,949.52
  5. Step 5: Solve for x
    x = 1,505,877,794,949.52/770,527.13
  6. Step 6: Final answer
    x = 1,954,347.54

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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.