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Finding the Third Proportional to 848,475 and 1,829,781

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Solution

The third proportional to 848,475 and 1,829,781 is: 3,946,019.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,475 : 1,829,781 = 1,829,781 : x
  2. Step 2: Convert to fraction form
    848,475/1,829,781 = 1,829,781/x
  3. Step 3: Cross multiply
    848,475x = 1,829,781 × 1,829,781
  4. Step 4: Simplify right side
    848,475x = 3,348,098,507,961
  5. Step 5: Solve for x
    x = 3,348,098,507,961/848,475
  6. Step 6: Final answer
    x = 3,946,019.04

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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.