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Finding the Third Proportional to 714,571.88 and 1,569,111.75

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Solution

The third proportional to 714,571.88 and 1,569,111.75 is: 3,445,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,571.88 : 1,569,111.75 = 1,569,111.75 : x
  2. Step 2: Convert to fraction form
    714,571.88/1,569,111.75 = 1,569,111.75/x
  3. Step 3: Cross multiply
    714,571.88x = 1,569,111.75 × 1,569,111.75
  4. Step 4: Simplify right side
    714,571.88x = 2,462,111,683,988.06
  5. Step 5: Solve for x
    x = 2,462,111,683,988.06/714,571.88
  6. Step 6: Final answer
    x = 3,445,575.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.