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Finding the Third Proportional to 1,781,114 and 4,200,350

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Solution

The third proportional to 1,781,114 and 4,200,350 is: 9,905,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,114 : 4,200,350 = 4,200,350 : x
  2. Step 2: Convert to fraction form
    1,781,114/4,200,350 = 4,200,350/x
  3. Step 3: Cross multiply
    1,781,114x = 4,200,350 × 4,200,350
  4. Step 4: Simplify right side
    1,781,114x = 17,642,940,122,500
  5. Step 5: Solve for x
    x = 17,642,940,122,500/1,781,114
  6. Step 6: Final answer
    x = 9,905,564.79

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.