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Finding the Third Proportional to 1,569,056 and 3,386,944

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Solution

The third proportional to 1,569,056 and 3,386,944 is: 7,311,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,056 : 3,386,944 = 3,386,944 : x
  2. Step 2: Convert to fraction form
    1,569,056/3,386,944 = 3,386,944/x
  3. Step 3: Cross multiply
    1,569,056x = 3,386,944 × 3,386,944
  4. Step 4: Simplify right side
    1,569,056x = 11,471,389,659,136
  5. Step 5: Solve for x
    x = 11,471,389,659,136/1,569,056
  6. Step 6: Final answer
    x = 7,311,013.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.