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Finding the Third Proportional to 1,050,221 and 2,138,964

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Solution

The third proportional to 1,050,221 and 2,138,964 is: 4,356,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050,221 : 2,138,964 = 2,138,964 : x
  2. Step 2: Convert to fraction form
    1,050,221/2,138,964 = 2,138,964/x
  3. Step 3: Cross multiply
    1,050,221x = 2,138,964 × 2,138,964
  4. Step 4: Simplify right side
    1,050,221x = 4,575,166,993,296
  5. Step 5: Solve for x
    x = 4,575,166,993,296/1,050,221
  6. Step 6: Final answer
    x = 4,356,384.98

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.