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Finding the Third Proportional to 2,110,820 and 4,977,900

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Solution

The third proportional to 2,110,820 and 4,977,900 is: 11,739,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110,820 : 4,977,900 = 4,977,900 : x
  2. Step 2: Convert to fraction form
    2,110,820/4,977,900 = 4,977,900/x
  3. Step 3: Cross multiply
    2,110,820x = 4,977,900 × 4,977,900
  4. Step 4: Simplify right side
    2,110,820x = 24,779,488,410,000
  5. Step 5: Solve for x
    x = 24,779,488,410,000/2,110,820
  6. Step 6: Final answer
    x = 11,739,271.19

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.