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Finding the Third Proportional to 688,133.25 and 1,619,037

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Solution

The third proportional to 688,133.25 and 1,619,037 is: 3,809,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,133.25 : 1,619,037 = 1,619,037 : x
  2. Step 2: Convert to fraction form
    688,133.25/1,619,037 = 1,619,037/x
  3. Step 3: Cross multiply
    688,133.25x = 1,619,037 × 1,619,037
  4. Step 4: Simplify right side
    688,133.25x = 2,621,280,807,369
  5. Step 5: Solve for x
    x = 2,621,280,807,369/688,133.25
  6. Step 6: Final answer
    x = 3,809,263.41

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.