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Finding the Third Proportional to 722,472 and 1,125,068

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Solution

The third proportional to 722,472 and 1,125,068 is: 1,752,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,472 : 1,125,068 = 1,125,068 : x
  2. Step 2: Convert to fraction form
    722,472/1,125,068 = 1,125,068/x
  3. Step 3: Cross multiply
    722,472x = 1,125,068 × 1,125,068
  4. Step 4: Simplify right side
    722,472x = 1,265,778,004,624
  5. Step 5: Solve for x
    x = 1,265,778,004,624/722,472
  6. Step 6: Final answer
    x = 1,752,009.77

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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.