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Finding the Third Proportional to 603,522 and 1,121,454

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Solution

The third proportional to 603,522 and 1,121,454 is: 2,083,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,522 : 1,121,454 = 1,121,454 : x
  2. Step 2: Convert to fraction form
    603,522/1,121,454 = 1,121,454/x
  3. Step 3: Cross multiply
    603,522x = 1,121,454 × 1,121,454
  4. Step 4: Simplify right side
    603,522x = 1,257,659,074,116
  5. Step 5: Solve for x
    x = 1,257,659,074,116/603,522
  6. Step 6: Final answer
    x = 2,083,866.16

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.