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Finding the Third Proportional to 833,920 and 1,626,360

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Solution

The third proportional to 833,920 and 1,626,360 is: 3,171,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,920 : 1,626,360 = 1,626,360 : x
  2. Step 2: Convert to fraction form
    833,920/1,626,360 = 1,626,360/x
  3. Step 3: Cross multiply
    833,920x = 1,626,360 × 1,626,360
  4. Step 4: Simplify right side
    833,920x = 2,645,046,849,600
  5. Step 5: Solve for x
    x = 2,645,046,849,600/833,920
  6. Step 6: Final answer
    x = 3,171,823.26

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.