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Finding the Third Proportional to 713,664 and 1,551,744

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Solution

The third proportional to 713,664 and 1,551,744 is: 3,374,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,664 : 1,551,744 = 1,551,744 : x
  2. Step 2: Convert to fraction form
    713,664/1,551,744 = 1,551,744/x
  3. Step 3: Cross multiply
    713,664x = 1,551,744 × 1,551,744
  4. Step 4: Simplify right side
    713,664x = 2,407,909,441,536
  5. Step 5: Solve for x
    x = 2,407,909,441,536/713,664
  6. Step 6: Final answer
    x = 3,374,009.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.