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Finding the Third Proportional to 848,319 and 1,819,461

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Solution

The third proportional to 848,319 and 1,819,461 is: 3,902,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,319 : 1,819,461 = 1,819,461 : x
  2. Step 2: Convert to fraction form
    848,319/1,819,461 = 1,819,461/x
  3. Step 3: Cross multiply
    848,319x = 1,819,461 × 1,819,461
  4. Step 4: Simplify right side
    848,319x = 3,310,438,330,521
  5. Step 5: Solve for x
    x = 3,310,438,330,521/848,319
  6. Step 6: Final answer
    x = 3,902,350.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.