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Finding the Third Proportional to 831,080 and 1,793,380

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Solution

The third proportional to 831,080 and 1,793,380 is: 3,869,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,080 : 1,793,380 = 1,793,380 : x
  2. Step 2: Convert to fraction form
    831,080/1,793,380 = 1,793,380/x
  3. Step 3: Cross multiply
    831,080x = 1,793,380 × 1,793,380
  4. Step 4: Simplify right side
    831,080x = 3,216,211,824,400
  5. Step 5: Solve for x
    x = 3,216,211,824,400/831,080
  6. Step 6: Final answer
    x = 3,869,918.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.