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Finding the Third Proportional to 1,977,664 and 2,971,762

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Solution

The third proportional to 1,977,664 and 2,971,762 is: 4,465,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,664 : 2,971,762 = 2,971,762 : x
  2. Step 2: Convert to fraction form
    1,977,664/2,971,762 = 2,971,762/x
  3. Step 3: Cross multiply
    1,977,664x = 2,971,762 × 2,971,762
  4. Step 4: Simplify right side
    1,977,664x = 8,831,369,384,644
  5. Step 5: Solve for x
    x = 8,831,369,384,644/1,977,664
  6. Step 6: Final answer
    x = 4,465,556.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.