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Finding the Third Proportional to 676,209.50 and 1,427,871

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Solution

The third proportional to 676,209.50 and 1,427,871 is: 3,015,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,209.50 : 1,427,871 = 1,427,871 : x
  2. Step 2: Convert to fraction form
    676,209.50/1,427,871 = 1,427,871/x
  3. Step 3: Cross multiply
    676,209.50x = 1,427,871 × 1,427,871
  4. Step 4: Simplify right side
    676,209.50x = 2,038,815,592,641
  5. Step 5: Solve for x
    x = 2,038,815,592,641/676,209.50
  6. Step 6: Final answer
    x = 3,015,064.99

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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.