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Finding the Third Proportional to 810,468 and 1,876,087.13

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Solution

The third proportional to 810,468 and 1,876,087.13 is: 4,342,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,468 : 1,876,087.13 = 1,876,087.13 : x
  2. Step 2: Convert to fraction form
    810,468/1,876,087.13 = 1,876,087.13/x
  3. Step 3: Cross multiply
    810,468x = 1,876,087.13 × 1,876,087.13
  4. Step 4: Simplify right side
    810,468x = 3,519,702,900,590.77
  5. Step 5: Solve for x
    x = 3,519,702,900,590.77/810,468
  6. Step 6: Final answer
    x = 4,342,803.05

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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.