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Finding the Third Proportional to 1,297,303 and 1,977,940

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Solution

The third proportional to 1,297,303 and 1,977,940 is: 3,015,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,303 : 1,977,940 = 1,977,940 : x
  2. Step 2: Convert to fraction form
    1,297,303/1,977,940 = 1,977,940/x
  3. Step 3: Cross multiply
    1,297,303x = 1,977,940 × 1,977,940
  4. Step 4: Simplify right side
    1,297,303x = 3,912,246,643,600
  5. Step 5: Solve for x
    x = 3,912,246,643,600/1,297,303
  6. Step 6: Final answer
    x = 3,015,676.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.