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Finding the Third Proportional to 1,417,741 and 3,111,056

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Solution

The third proportional to 1,417,741 and 3,111,056 is: 6,826,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,741 : 3,111,056 = 3,111,056 : x
  2. Step 2: Convert to fraction form
    1,417,741/3,111,056 = 3,111,056/x
  3. Step 3: Cross multiply
    1,417,741x = 3,111,056 × 3,111,056
  4. Step 4: Simplify right side
    1,417,741x = 9,678,669,435,136
  5. Step 5: Solve for x
    x = 9,678,669,435,136/1,417,741
  6. Step 6: Final answer
    x = 6,826,824.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.