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Finding the Third Proportional to 722,526 and 1,125,143

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Solution

The third proportional to 722,526 and 1,125,143 is: 1,752,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,526 : 1,125,143 = 1,125,143 : x
  2. Step 2: Convert to fraction form
    722,526/1,125,143 = 1,125,143/x
  3. Step 3: Cross multiply
    722,526x = 1,125,143 × 1,125,143
  4. Step 4: Simplify right side
    722,526x = 1,265,946,770,449
  5. Step 5: Solve for x
    x = 1,265,946,770,449/722,526
  6. Step 6: Final answer
    x = 1,752,112.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.