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Finding the Third Proportional to 676,200 and 1,427,856

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Solution

The third proportional to 676,200 and 1,427,856 is: 3,015,044.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,200 : 1,427,856 = 1,427,856 : x
  2. Step 2: Convert to fraction form
    676,200/1,427,856 = 1,427,856/x
  3. Step 3: Cross multiply
    676,200x = 1,427,856 × 1,427,856
  4. Step 4: Simplify right side
    676,200x = 2,038,772,756,736
  5. Step 5: Solve for x
    x = 2,038,772,756,736/676,200
  6. Step 6: Final answer
    x = 3,015,044.01

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