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Finding the Third Proportional to 3,192,924 and 4,822,560

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Solution

The third proportional to 3,192,924 and 4,822,560 is: 7,283,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192,924 : 4,822,560 = 4,822,560 : x
  2. Step 2: Convert to fraction form
    3,192,924/4,822,560 = 4,822,560/x
  3. Step 3: Cross multiply
    3,192,924x = 4,822,560 × 4,822,560
  4. Step 4: Simplify right side
    3,192,924x = 23,257,084,953,600
  5. Step 5: Solve for x
    x = 23,257,084,953,600/3,192,924
  6. Step 6: Final answer
    x = 7,283,945.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.