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Finding the Third Proportional to 474,792 and 1,120,803

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Solution

The third proportional to 474,792 and 1,120,803 is: 2,645,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,792 : 1,120,803 = 1,120,803 : x
  2. Step 2: Convert to fraction form
    474,792/1,120,803 = 1,120,803/x
  3. Step 3: Cross multiply
    474,792x = 1,120,803 × 1,120,803
  4. Step 4: Simplify right side
    474,792x = 1,256,199,364,809
  5. Step 5: Solve for x
    x = 1,256,199,364,809/474,792
  6. Step 6: Final answer
    x = 2,645,788.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.