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Finding the Third Proportional to 1,977,970 and 4,235,876

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Solution

The third proportional to 1,977,970 and 4,235,876 is: 9,071,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,970 : 4,235,876 = 4,235,876 : x
  2. Step 2: Convert to fraction form
    1,977,970/4,235,876 = 4,235,876/x
  3. Step 3: Cross multiply
    1,977,970x = 4,235,876 × 4,235,876
  4. Step 4: Simplify right side
    1,977,970x = 17,942,645,487,376
  5. Step 5: Solve for x
    x = 17,942,645,487,376/1,977,970
  6. Step 6: Final answer
    x = 9,071,242.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.