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Finding the Third Proportional to 453,926 and 977,874

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Solution

The third proportional to 453,926 and 977,874 is: 2,106,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,926 : 977,874 = 977,874 : x
  2. Step 2: Convert to fraction form
    453,926/977,874 = 977,874/x
  3. Step 3: Cross multiply
    453,926x = 977,874 × 977,874
  4. Step 4: Simplify right side
    453,926x = 956,237,559,876
  5. Step 5: Solve for x
    x = 956,237,559,876/453,926
  6. Step 6: Final answer
    x = 2,106,593.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.