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Finding the Third Proportional to 618,524 and 1,303,432

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Solution

The third proportional to 618,524 and 1,303,432 is: 2,746,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,524 : 1,303,432 = 1,303,432 : x
  2. Step 2: Convert to fraction form
    618,524/1,303,432 = 1,303,432/x
  3. Step 3: Cross multiply
    618,524x = 1,303,432 × 1,303,432
  4. Step 4: Simplify right side
    618,524x = 1,698,934,978,624
  5. Step 5: Solve for x
    x = 1,698,934,978,624/618,524
  6. Step 6: Final answer
    x = 2,746,756.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.