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Finding the Third Proportional to 840,592 and 1,313,380

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Solution

The third proportional to 840,592 and 1,313,380 is: 2,052,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,592 : 1,313,380 = 1,313,380 : x
  2. Step 2: Convert to fraction form
    840,592/1,313,380 = 1,313,380/x
  3. Step 3: Cross multiply
    840,592x = 1,313,380 × 1,313,380
  4. Step 4: Simplify right side
    840,592x = 1,724,967,024,400
  5. Step 5: Solve for x
    x = 1,724,967,024,400/840,592
  6. Step 6: Final answer
    x = 2,052,085.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.