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Finding the Third Proportional to 1,106,156 and 2,363,944

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Solution

The third proportional to 1,106,156 and 2,363,944 is: 5,051,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,156 : 2,363,944 = 2,363,944 : x
  2. Step 2: Convert to fraction form
    1,106,156/2,363,944 = 2,363,944/x
  3. Step 3: Cross multiply
    1,106,156x = 2,363,944 × 2,363,944
  4. Step 4: Simplify right side
    1,106,156x = 5,588,231,235,136
  5. Step 5: Solve for x
    x = 5,588,231,235,136/1,106,156
  6. Step 6: Final answer
    x = 5,051,937.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.