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Finding the Third Proportional to 676,201 and 1,427,850

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Solution

The third proportional to 676,201 and 1,427,850 is: 3,015,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,201 : 1,427,850 = 1,427,850 : x
  2. Step 2: Convert to fraction form
    676,201/1,427,850 = 1,427,850/x
  3. Step 3: Cross multiply
    676,201x = 1,427,850 × 1,427,850
  4. Step 4: Simplify right side
    676,201x = 2,038,755,622,500
  5. Step 5: Solve for x
    x = 2,038,755,622,500/676,201
  6. Step 6: Final answer
    x = 3,015,014.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.