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Finding the Third Proportional to 1,429,496 and 2,211,420

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Solution

The third proportional to 1,429,496 and 2,211,420 is: 3,421,050.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,496 : 2,211,420 = 2,211,420 : x
  2. Step 2: Convert to fraction form
    1,429,496/2,211,420 = 2,211,420/x
  3. Step 3: Cross multiply
    1,429,496x = 2,211,420 × 2,211,420
  4. Step 4: Simplify right side
    1,429,496x = 4,890,378,416,400
  5. Step 5: Solve for x
    x = 4,890,378,416,400/1,429,496
  6. Step 6: Final answer
    x = 3,421,050.79

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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.