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Finding the Third Proportional to 677,196 and 1,410,440

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Solution

The third proportional to 677,196 and 1,410,440 is: 2,937,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,196 : 1,410,440 = 1,410,440 : x
  2. Step 2: Convert to fraction form
    677,196/1,410,440 = 1,410,440/x
  3. Step 3: Cross multiply
    677,196x = 1,410,440 × 1,410,440
  4. Step 4: Simplify right side
    677,196x = 1,989,340,993,600
  5. Step 5: Solve for x
    x = 1,989,340,993,600/677,196
  6. Step 6: Final answer
    x = 2,937,614.80

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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.