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Finding the Third Proportional to 1,980,829 and 4,340,255

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Solution

The third proportional to 1,980,829 and 4,340,255 is: 9,510,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980,829 : 4,340,255 = 4,340,255 : x
  2. Step 2: Convert to fraction form
    1,980,829/4,340,255 = 4,340,255/x
  3. Step 3: Cross multiply
    1,980,829x = 4,340,255 × 4,340,255
  4. Step 4: Simplify right side
    1,980,829x = 18,837,813,465,025
  5. Step 5: Solve for x
    x = 18,837,813,465,025/1,980,829
  6. Step 6: Final answer
    x = 9,510,065.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.