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Finding the Third Proportional to 1,310,616 and 1,977,966

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Solution

The third proportional to 1,310,616 and 1,977,966 is: 2,985,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,616 : 1,977,966 = 1,977,966 : x
  2. Step 2: Convert to fraction form
    1,310,616/1,977,966 = 1,977,966/x
  3. Step 3: Cross multiply
    1,310,616x = 1,977,966 × 1,977,966
  4. Step 4: Simplify right side
    1,310,616x = 3,912,349,497,156
  5. Step 5: Solve for x
    x = 3,912,349,497,156/1,310,616
  6. Step 6: Final answer
    x = 2,985,122.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.