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Finding the Third Proportional to 833,738 and 1,759,348

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Solution

The third proportional to 833,738 and 1,759,348 is: 3,712,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,738 : 1,759,348 = 1,759,348 : x
  2. Step 2: Convert to fraction form
    833,738/1,759,348 = 1,759,348/x
  3. Step 3: Cross multiply
    833,738x = 1,759,348 × 1,759,348
  4. Step 4: Simplify right side
    833,738x = 3,095,305,385,104
  5. Step 5: Solve for x
    x = 3,095,305,385,104/833,738
  6. Step 6: Final answer
    x = 3,712,563.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.