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Finding the Third Proportional to 977,322 and 2,121,756

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Solution

The third proportional to 977,322 and 2,121,756 is: 4,606,310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,322 : 2,121,756 = 2,121,756 : x
  2. Step 2: Convert to fraction form
    977,322/2,121,756 = 2,121,756/x
  3. Step 3: Cross multiply
    977,322x = 2,121,756 × 2,121,756
  4. Step 4: Simplify right side
    977,322x = 4,501,848,523,536
  5. Step 5: Solve for x
    x = 4,501,848,523,536/977,322
  6. Step 6: Final answer
    x = 4,606,310.43

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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.