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Finding the Third Proportional to 1,619,688 and 3,544,434

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Solution

The third proportional to 1,619,688 and 3,544,434 is: 7,756,439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,688 : 3,544,434 = 3,544,434 : x
  2. Step 2: Convert to fraction form
    1,619,688/3,544,434 = 3,544,434/x
  3. Step 3: Cross multiply
    1,619,688x = 3,544,434 × 3,544,434
  4. Step 4: Simplify right side
    1,619,688x = 12,563,012,380,356
  5. Step 5: Solve for x
    x = 12,563,012,380,356/1,619,688
  6. Step 6: Final answer
    x = 7,756,439.75

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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.