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Finding the Third Proportional to 742,320 and 1,617,120

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Solution

The third proportional to 742,320 and 1,617,120 is: 3,522,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,320 : 1,617,120 = 1,617,120 : x
  2. Step 2: Convert to fraction form
    742,320/1,617,120 = 1,617,120/x
  3. Step 3: Cross multiply
    742,320x = 1,617,120 × 1,617,120
  4. Step 4: Simplify right side
    742,320x = 2,615,077,094,400
  5. Step 5: Solve for x
    x = 2,615,077,094,400/742,320
  6. Step 6: Final answer
    x = 3,522,843.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.