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Finding the Third Proportional to 792,708 and 1,742,880

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Solution

The third proportional to 792,708 and 1,742,880 is: 3,831,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,708 : 1,742,880 = 1,742,880 : x
  2. Step 2: Convert to fraction form
    792,708/1,742,880 = 1,742,880/x
  3. Step 3: Cross multiply
    792,708x = 1,742,880 × 1,742,880
  4. Step 4: Simplify right side
    792,708x = 3,037,630,694,400
  5. Step 5: Solve for x
    x = 3,037,630,694,400/792,708
  6. Step 6: Final answer
    x = 3,831,966.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.