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Finding the Third Proportional to 835,106 and 1,829,809

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Solution

The third proportional to 835,106 and 1,829,809 is: 4,009,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,106 : 1,829,809 = 1,829,809 : x
  2. Step 2: Convert to fraction form
    835,106/1,829,809 = 1,829,809/x
  3. Step 3: Cross multiply
    835,106x = 1,829,809 × 1,829,809
  4. Step 4: Simplify right side
    835,106x = 3,348,200,976,481
  5. Step 5: Solve for x
    x = 3,348,200,976,481/835,106
  6. Step 6: Final answer
    x = 4,009,312.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.