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Finding the Third Proportional to 681,888 and 1,457,664

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Solution

The third proportional to 681,888 and 1,457,664 is: 3,116,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,888 : 1,457,664 = 1,457,664 : x
  2. Step 2: Convert to fraction form
    681,888/1,457,664 = 1,457,664/x
  3. Step 3: Cross multiply
    681,888x = 1,457,664 × 1,457,664
  4. Step 4: Simplify right side
    681,888x = 2,124,784,336,896
  5. Step 5: Solve for x
    x = 2,124,784,336,896/681,888
  6. Step 6: Final answer
    x = 3,116,031.28

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Why These Related Problems?

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