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Finding the Third Proportional to 676,222 and 1,427,890

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Solution

The third proportional to 676,222 and 1,427,890 is: 3,015,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,222 : 1,427,890 = 1,427,890 : x
  2. Step 2: Convert to fraction form
    676,222/1,427,890 = 1,427,890/x
  3. Step 3: Cross multiply
    676,222x = 1,427,890 × 1,427,890
  4. Step 4: Simplify right side
    676,222x = 2,038,869,852,100
  5. Step 5: Solve for x
    x = 2,038,869,852,100/676,222
  6. Step 6: Final answer
    x = 3,015,089.50

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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.