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Finding the Third Proportional to 1,290,617 and 2,783,291

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Solution

The third proportional to 1,290,617 and 2,783,291 is: 6,002,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,617 : 2,783,291 = 2,783,291 : x
  2. Step 2: Convert to fraction form
    1,290,617/2,783,291 = 2,783,291/x
  3. Step 3: Cross multiply
    1,290,617x = 2,783,291 × 2,783,291
  4. Step 4: Simplify right side
    1,290,617x = 7,746,708,790,681
  5. Step 5: Solve for x
    x = 7,746,708,790,681/1,290,617
  6. Step 6: Final answer
    x = 6,002,329.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.