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Finding the Third Proportional to 901,120 and 1,216,360

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Solution

The third proportional to 901,120 and 1,216,360 is: 1,641,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,120 : 1,216,360 = 1,216,360 : x
  2. Step 2: Convert to fraction form
    901,120/1,216,360 = 1,216,360/x
  3. Step 3: Cross multiply
    901,120x = 1,216,360 × 1,216,360
  4. Step 4: Simplify right side
    901,120x = 1,479,531,649,600
  5. Step 5: Solve for x
    x = 1,479,531,649,600/901,120
  6. Step 6: Final answer
    x = 1,641,880.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.