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Finding the Third Proportional to 403,713 and 876,114

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Solution

The third proportional to 403,713 and 876,114 is: 1,901,290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,713 : 876,114 = 876,114 : x
  2. Step 2: Convert to fraction form
    403,713/876,114 = 876,114/x
  3. Step 3: Cross multiply
    403,713x = 876,114 × 876,114
  4. Step 4: Simplify right side
    403,713x = 767,575,740,996
  5. Step 5: Solve for x
    x = 767,575,740,996/403,713
  6. Step 6: Final answer
    x = 1,901,290.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.