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Finding the Third Proportional to 750,136 and 1,617,578

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Solution

The third proportional to 750,136 and 1,617,578 is: 3,488,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,136 : 1,617,578 = 1,617,578 : x
  2. Step 2: Convert to fraction form
    750,136/1,617,578 = 1,617,578/x
  3. Step 3: Cross multiply
    750,136x = 1,617,578 × 1,617,578
  4. Step 4: Simplify right side
    750,136x = 2,616,558,586,084
  5. Step 5: Solve for x
    x = 2,616,558,586,084/750,136
  6. Step 6: Final answer
    x = 3,488,112.27

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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.