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Finding the Third Proportional to 2,854,810 and 4,203,361

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Solution

The third proportional to 2,854,810 and 4,203,361 is: 6,188,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,810 : 4,203,361 = 4,203,361 : x
  2. Step 2: Convert to fraction form
    2,854,810/4,203,361 = 4,203,361/x
  3. Step 3: Cross multiply
    2,854,810x = 4,203,361 × 4,203,361
  4. Step 4: Simplify right side
    2,854,810x = 17,668,243,696,321
  5. Step 5: Solve for x
    x = 17,668,243,696,321/2,854,810
  6. Step 6: Final answer
    x = 6,188,938.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.