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Finding the Third Proportional to 749,744 and 1,617,588

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Solution

The third proportional to 749,744 and 1,617,588 is: 3,489,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,744 : 1,617,588 = 1,617,588 : x
  2. Step 2: Convert to fraction form
    749,744/1,617,588 = 1,617,588/x
  3. Step 3: Cross multiply
    749,744x = 1,617,588 × 1,617,588
  4. Step 4: Simplify right side
    749,744x = 2,616,590,937,744
  5. Step 5: Solve for x
    x = 2,616,590,937,744/749,744
  6. Step 6: Final answer
    x = 3,489,979.16

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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.