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Finding the Third Proportional to 411,734 and 880,544

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Solution

The third proportional to 411,734 and 880,544 is: 1,883,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,734 : 880,544 = 880,544 : x
  2. Step 2: Convert to fraction form
    411,734/880,544 = 880,544/x
  3. Step 3: Cross multiply
    411,734x = 880,544 × 880,544
  4. Step 4: Simplify right side
    411,734x = 775,357,735,936
  5. Step 5: Solve for x
    x = 775,357,735,936/411,734
  6. Step 6: Final answer
    x = 1,883,152.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.