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Finding the Third Proportional to 810,468.50 and 1,876,088.25

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Solution

The third proportional to 810,468.50 and 1,876,088.25 is: 4,342,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,468.50 : 1,876,088.25 = 1,876,088.25 : x
  2. Step 2: Convert to fraction form
    810,468.50/1,876,088.25 = 1,876,088.25/x
  3. Step 3: Cross multiply
    810,468.50x = 1,876,088.25 × 1,876,088.25
  4. Step 4: Simplify right side
    810,468.50x = 3,519,707,121,788.06
  5. Step 5: Solve for x
    x = 3,519,707,121,788.06/810,468.50
  6. Step 6: Final answer
    x = 4,342,805.58

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.