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Finding the Third Proportional to 1,269,522 and 1,966,977

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Solution

The third proportional to 1,269,522 and 1,966,977 is: 3,047,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,522 : 1,966,977 = 1,966,977 : x
  2. Step 2: Convert to fraction form
    1,269,522/1,966,977 = 1,966,977/x
  3. Step 3: Cross multiply
    1,269,522x = 1,966,977 × 1,966,977
  4. Step 4: Simplify right side
    1,269,522x = 3,868,998,518,529
  5. Step 5: Solve for x
    x = 3,868,998,518,529/1,269,522
  6. Step 6: Final answer
    x = 3,047,602.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.