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Finding the Third Proportional to 750,137 and 1,617,580

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Solution

The third proportional to 750,137 and 1,617,580 is: 3,488,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,137 : 1,617,580 = 1,617,580 : x
  2. Step 2: Convert to fraction form
    750,137/1,617,580 = 1,617,580/x
  3. Step 3: Cross multiply
    750,137x = 1,617,580 × 1,617,580
  4. Step 4: Simplify right side
    750,137x = 2,616,565,056,400
  5. Step 5: Solve for x
    x = 2,616,565,056,400/750,137
  6. Step 6: Final answer
    x = 3,488,116.25

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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.