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Finding the Third Proportional to 1,318,144 and 2,877,920

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Solution

The third proportional to 1,318,144 and 2,877,920 is: 6,283,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318,144 : 2,877,920 = 2,877,920 : x
  2. Step 2: Convert to fraction form
    1,318,144/2,877,920 = 2,877,920/x
  3. Step 3: Cross multiply
    1,318,144x = 2,877,920 × 2,877,920
  4. Step 4: Simplify right side
    1,318,144x = 8,282,423,526,400
  5. Step 5: Solve for x
    x = 8,282,423,526,400/1,318,144
  6. Step 6: Final answer
    x = 6,283,398.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.