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Finding the Third Proportional to 762,270 and 1,120,569

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Solution

The third proportional to 762,270 and 1,120,569 is: 1,647,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,270 : 1,120,569 = 1,120,569 : x
  2. Step 2: Convert to fraction form
    762,270/1,120,569 = 1,120,569/x
  3. Step 3: Cross multiply
    762,270x = 1,120,569 × 1,120,569
  4. Step 4: Simplify right side
    762,270x = 1,255,674,883,761
  5. Step 5: Solve for x
    x = 1,255,674,883,761/762,270
  6. Step 6: Final answer
    x = 1,647,283.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.