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Finding the Third Proportional to 637,747 and 1,399,896

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Solution

The third proportional to 637,747 and 1,399,896 is: 3,072,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,747 : 1,399,896 = 1,399,896 : x
  2. Step 2: Convert to fraction form
    637,747/1,399,896 = 1,399,896/x
  3. Step 3: Cross multiply
    637,747x = 1,399,896 × 1,399,896
  4. Step 4: Simplify right side
    637,747x = 1,959,708,810,816
  5. Step 5: Solve for x
    x = 1,959,708,810,816/637,747
  6. Step 6: Final answer
    x = 3,072,862.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.