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Finding the Third Proportional to 676,212 and 1,427,875

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Solution

The third proportional to 676,212 and 1,427,875 is: 3,015,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,212 : 1,427,875 = 1,427,875 : x
  2. Step 2: Convert to fraction form
    676,212/1,427,875 = 1,427,875/x
  3. Step 3: Cross multiply
    676,212x = 1,427,875 × 1,427,875
  4. Step 4: Simplify right side
    676,212x = 2,038,827,015,625
  5. Step 5: Solve for x
    x = 2,038,827,015,625/676,212
  6. Step 6: Final answer
    x = 3,015,070.74

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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.