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Finding the Third Proportional to 1,269,488 and 1,966,932

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Solution

The third proportional to 1,269,488 and 1,966,932 is: 3,047,544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,488 : 1,966,932 = 1,966,932 : x
  2. Step 2: Convert to fraction form
    1,269,488/1,966,932 = 1,966,932/x
  3. Step 3: Cross multiply
    1,269,488x = 1,966,932 × 1,966,932
  4. Step 4: Simplify right side
    1,269,488x = 3,868,821,492,624
  5. Step 5: Solve for x
    x = 3,868,821,492,624/1,269,488
  6. Step 6: Final answer
    x = 3,047,544.75

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Why These Related Problems?

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