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Finding the Third Proportional to 453,836 and 977,694

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Solution

The third proportional to 453,836 and 977,694 is: 2,106,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,836 : 977,694 = 977,694 : x
  2. Step 2: Convert to fraction form
    453,836/977,694 = 977,694/x
  3. Step 3: Cross multiply
    453,836x = 977,694 × 977,694
  4. Step 4: Simplify right side
    453,836x = 955,885,557,636
  5. Step 5: Solve for x
    x = 955,885,557,636/453,836
  6. Step 6: Final answer
    x = 2,106,235.64

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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.