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Finding the Third Proportional to 789,292 and 1,711,640

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Solution

The third proportional to 789,292 and 1,711,640 is: 3,711,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,292 : 1,711,640 = 1,711,640 : x
  2. Step 2: Convert to fraction form
    789,292/1,711,640 = 1,711,640/x
  3. Step 3: Cross multiply
    789,292x = 1,711,640 × 1,711,640
  4. Step 4: Simplify right side
    789,292x = 2,929,711,489,600
  5. Step 5: Solve for x
    x = 2,929,711,489,600/789,292
  6. Step 6: Final answer
    x = 3,711,822.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.