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Finding the Third Proportional to 751,920 and 1,623,691

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Solution

The third proportional to 751,920 and 1,623,691 is: 3,506,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,920 : 1,623,691 = 1,623,691 : x
  2. Step 2: Convert to fraction form
    751,920/1,623,691 = 1,623,691/x
  3. Step 3: Cross multiply
    751,920x = 1,623,691 × 1,623,691
  4. Step 4: Simplify right side
    751,920x = 2,636,372,463,481
  5. Step 5: Solve for x
    x = 2,636,372,463,481/751,920
  6. Step 6: Final answer
    x = 3,506,187.44

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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.