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Finding the Third Proportional to 677,187.84 and 1,410,426

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Solution

The third proportional to 677,187.84 and 1,410,426 is: 2,937,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,187.84 : 1,410,426 = 1,410,426 : x
  2. Step 2: Convert to fraction form
    677,187.84/1,410,426 = 1,410,426/x
  3. Step 3: Cross multiply
    677,187.84x = 1,410,426 × 1,410,426
  4. Step 4: Simplify right side
    677,187.84x = 1,989,301,501,476
  5. Step 5: Solve for x
    x = 1,989,301,501,476/677,187.84
  6. Step 6: Final answer
    x = 2,937,591.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.