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Finding the Third Proportional to 1,618,369.88 and 2,416,473

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Solution

The third proportional to 1,618,369.88 and 2,416,473 is: 3,608,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618,369.88 : 2,416,473 = 2,416,473 : x
  2. Step 2: Convert to fraction form
    1,618,369.88/2,416,473 = 2,416,473/x
  3. Step 3: Cross multiply
    1,618,369.88x = 2,416,473 × 2,416,473
  4. Step 4: Simplify right side
    1,618,369.88x = 5,839,341,759,729
  5. Step 5: Solve for x
    x = 5,839,341,759,729/1,618,369.88
  6. Step 6: Final answer
    x = 3,608,162.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.