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Finding the Third Proportional to 618,527 and 957,720

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Solution

The third proportional to 618,527 and 957,720 is: 1,482,922.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,527 : 957,720 = 957,720 : x
  2. Step 2: Convert to fraction form
    618,527/957,720 = 957,720/x
  3. Step 3: Cross multiply
    618,527x = 957,720 × 957,720
  4. Step 4: Simplify right side
    618,527x = 917,227,598,400
  5. Step 5: Solve for x
    x = 917,227,598,400/618,527
  6. Step 6: Final answer
    x = 1,482,922.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.