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Finding the Third Proportional to 835,076 and 1,829,749

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Solution

The third proportional to 835,076 and 1,829,749 is: 4,009,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,076 : 1,829,749 = 1,829,749 : x
  2. Step 2: Convert to fraction form
    835,076/1,829,749 = 1,829,749/x
  3. Step 3: Cross multiply
    835,076x = 1,829,749 × 1,829,749
  4. Step 4: Simplify right side
    835,076x = 3,347,981,403,001
  5. Step 5: Solve for x
    x = 3,347,981,403,001/835,076
  6. Step 6: Final answer
    x = 4,009,193.66

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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.