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Finding the Third Proportional to 1,608,176.53 and 2,500,473.80

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Solution

The third proportional to 1,608,176.53 and 2,500,473.80 is: 3,887,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608,176.53 : 2,500,473.80 = 2,500,473.80 : x
  2. Step 2: Convert to fraction form
    1,608,176.53/2,500,473.80 = 2,500,473.80/x
  3. Step 3: Cross multiply
    1,608,176.53x = 2,500,473.80 × 2,500,473.80
  4. Step 4: Simplify right side
    1,608,176.53x = 6,252,369,208,858.48
  5. Step 5: Solve for x
    x = 6,252,369,208,858.48/1,608,176.53
  6. Step 6: Final answer
    x = 3,887,862.49

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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.