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Finding the Third Proportional to 1,377,137 and 2,982,964

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Solution

The third proportional to 1,377,137 and 2,982,964 is: 6,461,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,137 : 2,982,964 = 2,982,964 : x
  2. Step 2: Convert to fraction form
    1,377,137/2,982,964 = 2,982,964/x
  3. Step 3: Cross multiply
    1,377,137x = 2,982,964 × 2,982,964
  4. Step 4: Simplify right side
    1,377,137x = 8,898,074,225,296
  5. Step 5: Solve for x
    x = 8,898,074,225,296/1,377,137
  6. Step 6: Final answer
    x = 6,461,284.70

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